Properties of the Number 50760

Fifty Thousand Seven Hundred Sixty

Basics

Value: 50759 → 50760 → 50761

Parity: even

Prime: No

Previous Prime: 50753

Next Prime: 50767

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ³ × 3 ³ × 5 × 47

Divisors: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100011001001000

Octal: 143110

Duodecimal: 25460

Hexadecimal: c648

Square: 2576577600

Square Root: 225.29980026622306

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

G.f.: q * ∏_m>=1 (1-q^m)⁸*(1-q^2m)⁸. A2288

a(n) = floor(n*φ¹⁶), where φ is the golden ratio, A001622. A4931

Numbers with prime factorization p·q*r³*s³ (where p, q, r, s are distinct primes). A190108

Numbers k for which A306927(k) [= A001615(k)-k] is a multiple of A344705(k) [= A001615(k)-A001065(k)], and their quotient is nonnegative. A344700

Sum of increasing powers of divisors: a(n) = ∑_i=1..q d(i)ⁱ where d(1) < d(2) < ... < d(q) are the divisors of n. A180851

a(n) = ∑_{k=0..floor(n/2)} binomial(n,k)*3^n-2·k. A100068

Expansion of q * (φ(q) * ψ(-q))⁸ in powers of q where φ(), ψ() are Ramanujan θ functions. A216711

a(n) is the minimum positive integer k such that the concatenation of k, a(n-1), a(n-2), ..., a(2), and a(1) is the lesser of a pair of twin primes (i.e., a term of A001359), with a(1) = 11. A350246

E.g.f. A(x) satisfies the property that the coefficient of xⁿ in the (2·n)-th iterations of e.g.f. A(x), for n>=1, begins with [1,4] and continues with all zeros thereafter. A186292

a(n) = n³ + 114·n. A122562