Properties of the Number 49311

Forty-Nine Thousand Three Hundred Eleven

Basics

Value: 49310 → 49311 → 49312

Parity: odd

Prime: No

Previous Prime: 49307

Next Prime: 49331

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5479

Divisors: 1, 3, 9, 5479, 16437, 49311

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100000010011111

Octal: 140237

Duodecimal: 24653

Hexadecimal: c09f

Square: 2431574721

Square Root: 222.06080248436461

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

Total number of partitions of all numbers <= n with designated summands, n >= 0. A384998

G.f. satisfies: A(x) = 1 + x·A(x)³ + x*(A(x) - 1)³. A192132

G.f. A(x) satisfies A(x) = x + A(A(x)³) where A(x) = ∑_n>=1 a(n)*x^2·n-1. A179486

Number of arrays of median of three adjacent elements of some length n+2 0..2 array, with no adjacent equal elements in the latter. A229006

Number of (0,1) matrices with n ones and no zero rows or columns, up to row and column permutations. A49311