Properties of the Number 49759

Forty-Nine Thousand Seven Hundred Fifty-Nine

Basics

Value: 49758 → 49759 → 49760

Parity: odd

Prime: No

Previous Prime: 49757

Next Prime: 49783

Digit Sum: 34

Digital Root: 7

Palindrome: No

Factorization: 17 × 2927

Divisors: 1, 17, 2927, 49759

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100001001011111

Octal: 141137

Duodecimal: 24967

Hexadecimal: c25f

Square: 2475958081

Square Root: 223.06725443237966

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

Expansion of q * (ψ(q³)³ / ψ(q)) / (φ(-q)³ / φ(-q³)) in powers of q where φ(), ψ() are Ramanujan θ functions. A128638

Triangle read by rows: T(n,k) is number of paths from (0,0) to (3n,0) that stay in the first quadrant (but may touch the horizontal axis), consisting of steps u=(2,1), U=(1,2), or d=(1,-1) and having k U=(1,2) steps among the steps leading to the first d step. A108441

Number of paths from (0,0) to (3n,0) that stay in the first quadrant (but may touch the horizontal axis), consisting of steps u=(2,1), U=(1,2), or d=(1,-1) and having only u steps among the steps leading to the first d step. A108442

Number of partitions p of n not containing floor((min(p) + max(p))/2) as a part. A238483

Expansion of ψ(x) * f(-x¹⁸)³ / (φ(-x³) * f(-x³)³) in powers of·where φ(), ψ(), f() are Ramanujan θ functions. A261992

Triangular array T read by rows: T(n,k)=n² mod k, for k=1,2,...,n, n=1,2,... A49759