Properties of the Number 50085

Fifty Thousand Eighty-Five

Basics

Value: 50084 → 50085 → 50086

Parity: odd

Prime: No

Previous Prime: 50077

Next Prime: 50087

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 5 × 7 × 53

Divisors: 1, 3, 5, 7, 9, 15, 21, 27, 35, 45

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1100001110100101

Octal: 141645

Duodecimal: 24B99

Hexadecimal: c3a5

Square: 2508507225

Square Root: 223.79678281869917

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 partitions of n with more odd parts than even parts. A108950

Expansion of e.g.f. A(x,y) satisfying A(x,y) = ∑_n>=0 (A(x,y)ⁿ + y)ⁿ * xⁿ/n!, as a triangle read by rows. A361540

Triangle read by rows giving the coefficients of general sum formulas of n-th Lucas numbers (A000204). The k-th row (k>=1) contains T(i,k) for i=1 to 2·k-1, where T(i,k) satisfies L(n) = ∑_k=1..n ∑_i=1..2·k-1 T(i,k) * C(n-k,i-1) * n^n-k / (n-1)!. A101033

a(n) = ∑_{1 <= j <= n/2, gcd(j,n)=1} j⁴. A295576

Number of partitions of n into parts that are neither all squarefree, nor all not squarefree. A117395

Numbers n such that n² is divisible by the sum of the distinct prime divisors of n² + 1. A196219

Expansion of f(-x⁸)² / f(-x) in powers of·where f() is a Ramanujan θ function. A260164

a(n) = A361540(n, n-2) for n >= 2, a diagonal of triangle A361540. A361539

Numbers k such that k and k² use only the digits 0, 2, 5, 7 and 8. A136916

Number of n X 4 0..1 arrays avoiding 0 0 1 and 0 1 0 horizontally and 0 0 1 and 1 0 1 vertically. A207064