Properties of the Number 49761

Forty-Nine Thousand Seven Hundred Sixty-One

Basics

Value: 49760 → 49761 → 49762

Parity: odd

Prime: No

Previous Prime: 49757

Next Prime: 49783

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 19 × 97

Divisors: 1, 3, 9, 19, 27, 57, 97, 171, 291, 513

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1100001001100001

Octal: 141141

Duodecimal: 24969

Hexadecimal: c261

Square: 2476157121

Square Root: 223.07173734025562

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 p of n including round(mean(p)) as a part. (This is "Mathematica round"). A241338

a(n) is the number of partitions of n such that the number of parts having multiplicity > 1 is a part. A241408

p-INVERT of (0,1,0,1,0,1,...), where p(S) = (1 - S)(1 - 2 S)(1 - 3 S). A291230

Number of n X 2 0..1 arrays with each 1 adjacent to 0, 2 or 4 king-move neighboring 1s. A296719

Sum of the three largest parts in the partitions of 4n into 4 parts. A243011

Triangular array T, read by rows: T(n,k) = n³ mod k, for k = 1..n and n >= 1. A49761