Properties of the Number 49819

Forty-Nine Thousand Eight Hundred Nineteen

Basics

Value: 49818 → 49819 → 49820

Parity: odd

Prime: No

Previous Prime: 49811

Next Prime: 49823

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 7 × 11 × 647

Divisors: 1, 7, 11, 77, 647, 4529, 7117, 49819

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100001010011011

Octal: 141233

Duodecimal: 249B7

Hexadecimal: c29b

Square: 2481932761

Square Root: 223.2017025024675

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

Denominators of continued fraction convergents to sqrt(59). A41103

Number of (6+1) X (n+1) 0..1 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction. A250660

Expansion of e.g.f. ∏_k>=1 1/(1 - x^k/(1 - x)^k)^1/k. A307679

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, 0), (0, 0, 1), (0, 1, -1), (1, 0, 0)}. A150059

a(n) = Max_k=1..n T(n,k), array T as in A049816. A49819