Properties of the Number 50904

Fifty Thousand Nine Hundred Four

Basics

Value: 50903 → 50904 → 50905

Parity: even

Prime: No

Previous Prime: 50893

Next Prime: 50909

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ³ × 3 ² × 7 × 101

Divisors: 1, 2, 3, 4, 6, 7, 8, 9, 12, 14

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1100011011011000

Octal: 143330

Duodecimal: 25560

Hexadecimal: c6d8

Square: 2591217216

Square Root: 225.61914812355798

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

Numbers that are the sum of four third powers in eight or more ways. A345152

Numbers that are the sum of four third powers in nine or more ways. A345146

Numbers that are the sum of four third powers in exactly nine ways. A345154

E.g.f. C(x) is defined by: C(x) = 2 + Integral A(x)*B(x)² - A(x)²*B(x) dx, where A(x) and B(x) are described by A278746 and A278747, respectively. A278748

E.g.f. satisfies: A(x) = 1/(1-x - x·log(A(x))). A177379

Coordination sequence for 12-dimensional cyclotomic lattice Z[zeta₃₆]. A126926

O.g.f. A(x) satisfies: 0 = [xⁿ] exp( n² * Integral A(x) dx ) / A(x), for n > 0. A305137

E.g.f. A(x) is defined by: A(x) = Integral B(x)*C(x)² - B(x)²*C(x) dx, where B(x) and C(x) are described by A278747 and A278748, respectively. A278746

E.g.f. B(x) is defined by: B(x) = 1 + Integral C(x)*A(x)² - C(x)²*A(x) dx, where A(x) and C(x) are described by A278746 and A278748, respectively. A278747

Numbers n having at least two distinct symmetrical pairs of divisors (a, b) and (b', a') such that n = a·b = b'*a' with a' = reverse(a) and b' = reverse(b). A228164