Properties of the Number 40496

Forty Thousand Four Hundred Ninety-Six

Basics

Value: 40495 → 40496 → 40497

Parity: even

Prime: No

Previous Prime: 40493

Next Prime: 40499

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ⁴ × 2531

Divisors: 1, 2, 4, 8, 16, 2531, 5062, 10124, 20248, 40496

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001111000110000

Octal: 117060

Duodecimal: 1B528

Hexadecimal: 9e30

Square: 1639926016

Square Root: 201.23617964968426

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

T(n,k) = Number of n-turn bishop's tours on a k X k board summed over all starting positions. A188777

a(n) = n³ - 2·n² + 2·n + 1. A188947

Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of f(i,j)=(i if i=j and 1 otherwise) (A204125). A204128

Number of 7-turn bishop's tours on an n X n board summed over all starting positions. A188782

G.f.: ∑_n>=0 xⁿ*∏_k=1..n (1 - k·x) / (1 - (2·k-1)*x). A193320

Number of 0..n arrays x(0..11) of 12 elements with zero 6th differences. A200374

Number of nonzero terms in A117943 up to index 2ⁿ: a(n) = ∑_k=1..2ⁿ A117943(k). A255822

Interprimes which are of the form s·prime, s=16. A75291

a(n) = floor(e*(n+3)!) - (n+3)*(n+2)*(n+1)*n·floor(e*(n-1)!). A80770

a(n) = A306302(n)/2. A331756