Properties of the Number 42492

Forty-Two Thousand Four Hundred Ninety-Two

Basics

Value: 42491 → 42492 → 42493

Parity: even

Prime: No

Previous Prime: 42491

Next Prime: 42499

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 3541

Divisors: 1, 2, 3, 4, 6, 12, 3541, 7082, 10623, 14164

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010010111111100

Octal: 122774

Duodecimal: 20710

Hexadecimal: a5fc

Square: 1805570064

Square Root: 206.13587751771888

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

Triangular array T(n,k), read by rows: coefficients of strong divisibility sequence of polynomials p(1,x) = 1, p(2,x) = 2 + 4·x, p(n,x) = u·p(n-1,x) + v·p(n-2,x) for n >= 3, where u = p(2,x), v = 1 - 2·x - x². A367298

T(n,k)=Number of nXk 0..3 arrays with exactly floor(nXk/2) elements equal to at least one king-move neighbor, with new values introduced in row major 0..3 order. A222608

Number of (n+1)X(n+1) -8..8 symmetric matrices with every 2X2 subblock having sum zero and three or four distinct values. A211471

Number of nX3 0..3 arrays with exactly floor(nX3/2) elements equal to at least one king-move neighbor, with new values introduced in row major 0..3 order. A222606

Number of nX4 0..3 arrays with exactly floor(nX4/2) elements equal to at least one king-move neighbor, with new values introduced in row major 0..3 order. A222607

Number of 2Xn 0..1 arrays with no more than floor(2Xn/2) elements unequal to at least one horizontal or antidiagonal neighbor, with new values introduced in row major 0..1 order. A223013

Number of (n+6)X12 0..1 matrices with each 7X7 subblock idempotent. A224586

The number of overpartitions of n with restricted odd differences and smallest part both odd and overlined. A261037

T(n,k)=Number of (n+6)X(k+6) 0..1 matrices with each 7X7 subblock idempotent. A224588

Numerators of continued fraction convergents to sqrt(774). A42492