Properties of the Number 45745

Forty-Five Thousand Seven Hundred Forty-Five

Basics

Value: 45744 → 45745 → 45746

Parity: odd

Prime: No

Previous Prime: 45737

Next Prime: 45751

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 5 × 7 × 1307

Divisors: 1, 5, 7, 35, 1307, 6535, 9149, 45745

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011001010110001

Octal: 131261

Duodecimal: 22581

Hexadecimal: b2b1

Square: 2092605025

Square Root: 213.88080792815424

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

a(n) is the solution to the postage stamp problem with 6 denominations and n stamps. A1211

Solution of the complementary equation a(n) = a(n-1) + a(n-2) + 2·b(n-1) + b(n-2), where a(0) = 1, a(1) = 3, b(0) = 2, b(1) = 4. A294420

a(n) = (2·n³ + 5·n² - 11·n)/2. A162257

Numbers n such that sum of proper divisors s(n) is a triangular number T(k). A45745

Decimal expansion of 1/(1+LambertW(1)). A115287

G.f.: exp( ∑_n>=1 xⁿ/n·exp( ∑_k>=1 binomial(2·n*k,n·k)*x^n·k/k ) ). A205503