Properties of the Number 49792

Forty-Nine Thousand Seven Hundred Ninety-Two

Basics

Value: 49791 → 49792 → 49793

Parity: even

Prime: No

Previous Prime: 49789

Next Prime: 49801

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 2 ⁷ × 389

Divisors: 1, 2, 4, 8, 16, 32, 64, 128, 389, 778

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1100001010000000

Octal: 141200

Duodecimal: 24994

Hexadecimal: c280

Square: 2479243264

Square Root: 223.14121089570165

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 normal n X n (-1,1)-matrices. A55548

Number of (n+2) X (5+2) 0..3 arrays with every 3 X 3 subblock row and diagonal sum equal to 0 2 3 6 or 7 and every 3 X 3 column and antidiagonal sum not equal to 0 2 3 6 or 7. A252529

Number of 4 X n 0..2 arrays with no element equal to any value at offset (-2,-2) (-1,-2) or (0,-1) and new values introduced in order 0..2. A275144

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 2 3 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 2 3 6 or 7. A252532

T(n,k)=Number of nXk 0..2 arrays with no element equal to any value at offset (-2,-2) (-1,-2) or (0,-1) and new values introduced in order 0..2. A275142

a(n) = ∑_k=1..n floor(n/floor(n/k)). A49792

Number of (n+2) X (6+2) 0..3 arrays with every consecutive three elements in every row and column having exactly two distinct values, and in every diagonal and antidiagonal not having exactly two distinct values, and new values 0 upwards introduced in row major order. A252693