Properties of the Number 40492

Forty Thousand Four Hundred Ninety-Two

Basics

Value: 40491 → 40492 → 40493

Parity: even

Prime: No

Previous Prime: 40487

Next Prime: 40493

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ² × 53 × 191

Divisors: 1, 2, 4, 53, 106, 191, 212, 382, 764, 10123

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1001111000101100

Octal: 117054

Duodecimal: 1B524

Hexadecimal: 9e2c

Square: 1639602064

Square Root: 201.22624083354538

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+2)X(k+2) 0..1 arrays with every 3X3 subblock sum of the two sums of the diagonal and antidiagonal minus the two minimums of the central column and central row nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A254907

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum nonprime and every diagonal and antidiagonal sum prime. A251845

a(n) = n*(120·n⁴ - 480·n³ + 762·n² - 556·n + 155). A272380

a(n) is the number of iterations of the computation of the A351849 tag system when started from the word encoding n, or -1 if the number of iterations is infinite. A351850

Numerator of Hermite(n, 5/11). A159327

Number of (n+2)X(3+2) 0..3 arrays with every 3X3 subblock row and column sum nonprime and every diagonal and antidiagonal sum prime. A251840

Number of (n+2)X(7+2) 0..3 arrays with every 3X3 subblock row and column sum nonprime and every diagonal and antidiagonal sum prime. A251844

Number of (n+2)X(4+2) 0..1 arrays with every 3X3 subblock sum of the two sums of the diagonal and antidiagonal minus the two minimums of the central column and central row nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A254903

Number of (2+2)X(n+2) 0..1 arrays with every 3X3 subblock sum of the two sums of the diagonal and antidiagonal minus the two minimums of the central column and central row nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A254908

Number of n X 4 binary arrays with rows and columns lexicographically nondecreasing and row and column sums nonincreasing. A266543