Properties of the Number 50404

Fifty Thousand Four Hundred Four

Basics

Value: 50403 → 50404 → 50405

Parity: even

Prime: No

Previous Prime: 50387

Next Prime: 50411

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 ² × 12601

Divisors: 1, 2, 4, 12601, 25202, 50404

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100010011100100

Octal: 142344

Duodecimal: 25204

Hexadecimal: c4e4

Square: 2540563216

Square Root: 224.50835173774718

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 unordered pairs of partitions of n with no common parts. A260669

Expansion of g.f.: 4ⁿ*n!*(1-y)ⁿ⁺¹*f(x, y, m), where f(x, y, m) = 2^m+1*exp(2^m*t)/((1-y·exp(t))*(1 + (2^m+1-1)*exp(2^m*t))), and m = -2. A171694

Number of integer-sided polygons having perimeter n, modulo rotations and reflections. A293818

a(n) = ∑_k=0..n-1 T(n,k)*T(n,2n-k), T given by A027960. A27980

a(n) = s(1)s(n) + s(2)s(n-1) + ... + s(k)s(n+1-k), where k = [ (n+1)/2 ], s = (Lucas numbers). A24469

Convolution of L(n+1) := A000204(n+1) (Lucas), n>=0, with L(n+9), n>=0. A67987

Number of convex hulls of vertices of a regular n-gon which include the centroid, up to dihedral symmetry. A291857

Partial sums of A051878. A50404