Properties of the Number 49924

Forty-Nine Thousand Nine Hundred Twenty-Four

Basics

Value: 49923 → 49924 → 49925

Parity: even

Prime: No

Previous Prime: 49921

Next Prime: 49927

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 2 ² × 7 × 1783

Divisors: 1, 2, 4, 7, 14, 28, 1783, 3566, 7132, 12481

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1100001100000100

Octal: 141404

Duodecimal: 24A84

Hexadecimal: c304

Square: 2492405776

Square Root: 223.4367919569201

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 n X k 0..1 arrays with no 1 equal to more than two of its horizontal, diagonal and antidiagonal neighbors. A283691

Admirable Harshad numbers n such that the subtracted divisor is equal to the digital sum of n. A111948

Absolute discriminants of complex quadratic fields with 3-class group of type (3,3), 3-principalization type (2143), IPAD [(3,9)⁴], and Hilbert 3-class field tower of unknown length at least 3. A247688

Number of nX3 0..1 arrays with no 1 equal to more than two of its horizontal, diagonal and antidiagonal neighbors. A283686

Number of 6Xn 0..1 arrays with no 1 equal to more than two of its horizontal, diagonal and antidiagonal neighbors. A283696

Expansion of ∑_k>=1 k⁴ * x^k/(1 - x^k)⁴. A366933

Number of permutations of length n which avoid the patterns 1234, 3421, 4231. A116803

a(n) = a(1) + a(2) + ... + a(n-1) - a(m) for n >= 3, where m = 2·n - 3 - 2^p+1 and p is the unique integer such that 2^p < n - 1 <= 2^p+1, starting with a(1) = 1 and a(2) = 3. A49924