Properties of the Number 49918

Forty-Nine Thousand Nine Hundred Eighteen

Basics

Value: 49917 → 49918 → 49919

Parity: even

Prime: No

Previous Prime: 49891

Next Prime: 49919

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 2 × 11 × 2269

Divisors: 1, 2, 11, 22, 2269, 4538, 24959, 49918

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1100001011111110

Octal: 141376

Duodecimal: 24A7A

Hexadecimal: c2fe

Square: 2491806724

Square Root: 223.4233649375105

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

T(n,k)=Number of nXk 0..3 arrays with no element equal to zero plus the sum of elements to its left or one plus the sum of the elements above it or zero plus the sum of the elements diagonally to its northwest or zero plus the sum of the elements antidiagonally to its northeast, modulo 4. A241306

Number of (n+2) X 4 binary arrays with each 3 X 3 subblock having rows and columns in lexicographically nondecreasing order. A184541

Number of ways to select a set partition, P of {1,2,...,n} and then select a subset, S of {1,2,...,n} such that for all i in {1,2,...,n-1} if i and i+1 are in S then i and i+1 are in different blocks of P. A227119

Number of 5Xn 0..3 arrays with no element equal to zero plus the sum of elements to its left or one plus the sum of the elements above it or zero plus the sum of the elements diagonally to its northwest or zero plus the sum of the elements antidiagonally to its northeast, modulo 4. A241310

Number of nX6 0..3 arrays with no element equal to zero plus the sum of elements to its left or one plus the sum of elements above it or zero plus the sum of the elements diagonally to its northwest or zero plus the sum of the elements antidiagonally to its northeast, modulo 4. A241305

Number of balanced inequivalent nondegenerate unate functions of n or fewer variables. A374401

a(n) = a(1) + a(2) + ... + a(n-1) - a(m) for n >= 4, where m = n - 1 - 2^p and p is the unique integer such that 2^p < n - 1 <= 2^p+1, starting with a(1) = 1, a(2) = 3, and a(3) = 1. A49918