45481 (number)
45,481 (fortyfive thousand four hundred eightyone) is an odd fivedigits prime number following 45480 and preceding 45482. In scientific notation, it is written as 4.5481 × 10^{4}. The sum of its digits is 22. It has a total of 1 prime factor and 2 positive divisors. There are 45,480 positive integers (up to 45481) that are relatively prime to 45481.
Basic properties
 Is Prime? Yes
 Number parity Odd
 Number length 5
 Sum of Digits 22
 Digital Root 4
Name
Short name  45 thousand 481 

Full name  fortyfive thousand four hundred eightyone 
Notation
Scientific notation  4.5481 × 10^{4} 

Engineering notation  45.481 × 10^{3} 
Prime Factorization of 45481
Prime Factorization 45481
Prime numberω(n)  Distinct Factors  1  Total number of distinct prime factors 

Ω(n)  Total Factors  1  Total number of prime factors 
rad(n)  Radical  45481  Product of the distinct prime numbers 
λ(n)  Liouville Lambda  1  Returns the parity of Ω(n), such that λ(n) = (1)^{Ω(n)} 
μ(n)  Mobius Mu  1  Returns:

Λ(n)  Mangoldt function  10.72504993531  Returns log(p) if n is a power p^{k} of any prime p (for any k >= 1), else returns 0 
The prime factorization of 45,481 is 45481. Since it has a total of 1 prime factor, 45,481 is a prime number.
Divisors of 45481
2 divisors
τ(n)  Total Divisors  2  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  45482  Sum of all the positive divisors of n 
s(n)  Aliquot Sum  1  Sum of the proper positive divisors of n 
A(n)  Arithmetic Mean  22741  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  213.26274873967  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  1.99995602656  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 45,481 can be divided by 2 positive divisors (out of which 0 are even, and 2 are odd). The sum of these divisors (counting 45,481) is 45,482, the average is 22,741.
Other Arithmetic Functions (n = 45481)
φ(n)  Euler Totient  45480  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  45480  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 4712  Total number of primes less than or equal to n 
r_{2}(n)  Sum of 2 squares  8  The number of ways n can be represented as the sum of 2 squares 
There are 45,480 positive integers (less than 45,481) that are coprime with 45,481. And there are approximately 4,712 prime numbers less than or equal to 45,481.
Divisibility of 45481
m  2  3  4  5  6  7  8  9 

n mod m  1  1  1  1  1  2  1  4 
45,481 is not divisible by any number less than or equal to 9.
Classification of 45481
By Arithmetic functions
 Arithmetic
 Prime
 Deficient
Expressible via specific sums
 Polite
By Powers
 Prime Power
 Square Free
Base conversion (45481)
Base  System  Value 

2  Binary  1011000110101001 
3  Ternary  2022101111 
4  Quaternary  23012221 
5  Quinary  2423411 
6  Senary  550321 
8  Octal  130651 
10  Decimal  45481 
12  Duodecimal  223a1 
16  Hexadecimal  b1a9 
20  Vigesimal  5de1 
36  Base36  z3d 
Basic calculations (n = 45481)
Multiplication
n×yn×2  90962 

n×3  136443 
n×4  181924 
n×5  227405 
Division
n÷yn÷2  22740.500 

n÷3  15160.333 
n÷4  11370.250 
n÷5  9096.200 
Exponentiation
n^{y}n^{2}  2068521361 

n^{3}  94078420019641 
n^{4}  4278780620913292321 
n^{5}  194603221419757448051401 
Nth Root
^{y}√n^{2}√n  213.26274873967 

^{3}√n  35.695214961248 
^{4}√n  14.603518368519 
^{5}√n  8.5421265476149 
45481 as geometric shapes
Circle
Radius = nDiameter  90962 

Circumference  285765.55095583 
Area  6498451511.5112 
Sphere
Radius = nVolume  3.9407476426005E+14 

Surface area  25993806046.045 
Circumference  285765.55095583 
Square
Length = nPerimeter  181924 

Area  2068521361 
Diagonal  64319.847030291 
Cube
Length = nSurface area  12411128166 

Volume  94078420019641 
Space diagonal  78775.40277904 
Equilateral Triangle
Length = nPerimeter  136443 

Area  895696023.44838 
Altitude  39387.70138952 
Triangular Pyramid
Length = nSurface area  3582784093.7935 

Volume  11087248126534 
Height  37135.080997174 
Cryptographic Hash Functions
md5  9577014358ebabb5010e7513a7439a82 

sha1  151bba7568cc073b0a607d4a3fe61a304e720586 
sha256  ecb1c9076a3bfea851457b2140ea20bad7573022a07f6fa0bc3bb126dcfa52bd 
sha512  fc0519e4bc94276241129ad3add9e8ba7ae2c89939ebf04060a281cb46a7ed0bc903035ff5c9c90064ba1af50352e920462b917e8df4a9739992165b9e23a14f 
ripemd160  ae57f6109bb5495c11fcda149842175d5f37cc6a 