Properties of the Number 50791

Fifty Thousand Seven Hundred Ninety-One

Basics

Value: 50790 → 50791 → 50792

Parity: odd

Prime: No

Previous Prime: 50789

Next Prime: 50821

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 13 × 3907

Divisors: 1, 13, 3907, 50791

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100011001100111

Octal: 143147

Duodecimal: 25487

Hexadecimal: c667

Square: 2579725681

Square Root: 225.36858698585303

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 integer partitions of n such that every orderless pair of distinct parts has a different sum. A325857

Numerators of continued fraction convergents to sqrt(694). A42334

Number of zero-sum -2..2 arrays of n elements with first through third differences also in -2..2. A202505

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 0, 1), (-1, 1, 0), (1, -1, -1), (1, 0, 0)}. A148518

G.f.: ∑_n>=0 xⁿ * (1 + xⁿ)ⁿ / (1 - x*(1 + xⁿ))ⁿ⁺¹. A326599

Consider the Diophantine equation x³ + y³ = z³ + 1 (1 < x < y < z) or 'Fermat near misses'. Sequence gives values of z in monotonic increasing order. A50791