Properties of the Number 40896

Forty Thousand Eight Hundred Ninety-Six

Basics

Value: 40895 → 40896 → 40897

Parity: even

Prime: No

Previous Prime: 40883

Next Prime: 40897

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ⁶ × 3 ² × 71

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001111111000000

Octal: 117700

Duodecimal: 1B800

Hexadecimal: 9fc0

Square: 1672482816

Square Root: 202.22759455623262

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 ∏_k>=1 (1 + x^k)^k*(5·k-3/2). A294837

T(n,k) = Number of n-turn rook's tours on a k X k board summed over all starting positions. A187189

Expansion of ψ(x⁴) / f(-x) in powers of·where ψ(), f() are Ramanujan θ functions. A226635

a(n+3) = 3·a(n+2) + 5·a(n+1) + a(n), a(0) = 0, a(1) = 1, a(2) = 8. A110527

G.f. satisfies: A(x) = exp( ∑_n>=1 [∑_k=0..2·n A200536(n,2·n-k)² * x^k] / A(x)ⁿ * xⁿ/n ), where A200536(n,2·n-k) is the coefficient of x^k in (2+3·x+x²)ⁿ. A251689

a(n) = 14·a(n-1)-46·a(n-2) for n > 1; a(0) = 1, a(1) = 8. A162758

Partial sums of A029940 (∏_d∣n φ(d)). A280131

Number of binary strings of length n with equal numbers of 00001 and 01000 substrings. A164197

Number of ways of placing A352426(n) nonattacking white-square queens on an n X n board. A352599

The exponential generating function A(x) = Sum a(j) x^j/j! satisfies the functional equation A(x)=1+x*(A(x))*(1-log(A(x))). A80073