Properties of the Number 45565

Forty-Five Thousand Five Hundred Sixty-Five

Basics

Value: 45564 → 45565 → 45566

Parity: odd

Prime: No

Previous Prime: 45557

Next Prime: 45569

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 5 × 13 × 701

Divisors: 1, 5, 13, 65, 701, 3505, 9113, 45565

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011000111111101

Octal: 130775

Duodecimal: 22451

Hexadecimal: b1fd

Square: 2076169225

Square Root: 213.45959805077868

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Expansion of 1/(1-2·x+x²+2·x³). A77942

Expansion of 1/(1+2·x+x²-2·x³). A77989

a(n) = K₃(n) = ∑_k>=0 A090285(3,k)*2^k*binomial(n,k). a(n) = (4·n³+30·n²+56·n+15)/3. A90294

a(n) = ∑_{k=0..floor(n/2)} binomial(n-k, k-1) * 4^k-1. A99580

G.f.: (1+38·x+262·x²+475·x³+254·x⁴+37·x⁵+x⁶)/(1-x)⁷. A160837

Minimum value unattainable as the sum of 3 attained values of a·b*c with a,b,c 0..n integers. A225265

Numbers whose factorial has '72' as its final two digits before the trailing zeros. A45565