Properties of the Number 53040

Fifty-Three Thousand Forty

Basics

Value: 53039 → 53040 → 53041

Parity: even

Prime: No

Previous Prime: 53017

Next Prime: 53047

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 ⁴ × 3 × 5 × 13 × 17

Divisors: 1, 2, 3, 4, 5, 6, 8, 10, 12, 13

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100111100110000

Octal: 147460

Duodecimal: 26840

Hexadecimal: cf30

Square: 2813241600

Square Root: 230.30414672775652

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

Number of ways to place 2 nonattacking amazons (superqueens) on an n X n board. A172200

Numbers with prime factorization p·q*r·s*t⁴ (where p, q, r, s, t are distinct primes). A190110

Positive integers that have a record number of divisors in Gaussian integers. A279254

Integer areas A of integer-sided cyclic quadrilaterals such that the circumradius is of prime length. A230136

G.f. satisfies A(x) = 1 + x·A(x) / (1 + x·A(x)⁵). A364738

a(n) = A080315(n) - 2^A000523(A080315(n)), i.e., the terms of A080315 without their most significant bit. A80316

A014486-encoding of the Catalan mountain ranges with only even-length slopes allowed. A83932

Positive integers n such that n² = (x⁴ - y⁴)*(z⁴ - t⁴) where the pairs of integers (x,y) and (z,t) are not proportional. A147854

Positive integers n such that n² = (x⁴ - y⁴)*(z⁴ - t⁴) where x>y and z>t are distinct pairs of integers with gcd(x,y)=gcd(z,t)=1. A147856

Logarithmic derivative of F(x) that satisfies: [xⁿ] exp( n*(n-1) * x ) / F(x) = 0 for n>0. A304316