Properties of the Number 51664

Fifty-One Thousand Six Hundred Sixty-Four

Basics

Value: 51663 → 51664 → 51665

Parity: even

Prime: No

Previous Prime: 51659

Next Prime: 51673

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ⁴ × 3229

Divisors: 1, 2, 4, 8, 16, 3229, 6458, 12916, 25832, 51664

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100100111010000

Octal: 144720

Duodecimal: 25A94

Hexadecimal: c9d0

Square: 2669168896

Square Root: 227.29716232280595

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) = numerator of (π²)/2 - ζ(2,(2·n-1)/2), where ζ is the Hurwitz ζ function. A173945

Triangular array T(n,k), read by rows: coefficients of strong divisibility sequence of polynomials p(1,x) = 1, p(2,x) = 3 + 2·x, p(n,x) = u·p(n-1,x) + v·p(n-2,x) for n >= 3, where u = p(2,x), v = 1 - 2·x - x². A367300

G.f. satisfies: A(x) = 1/A(-x·A(x)³). A214760

Square array read by upward antidiagonals: T(n, k) = numerator( 2·k!*(-2)^k*∑_m=1..n( 1/(2·m-1)^k+1 ) ). A370692

Triangle T(n, k) read by rows: Row n gives the coefficients of the even powers in ∏_t=1..n(2·x - (2·t - 1))*∏_t=1..n(2·x + (2·t - 1)). A380570

a(n) is the number of nonzero coefficients in the n-th cyclotomic polynomial. A51664