Properties of the Number 49424

Forty-Nine Thousand Four Hundred Twenty-Four

Basics

Value: 49423 → 49424 → 49425

Parity: even

Prime: No

Previous Prime: 49417

Next Prime: 49429

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ⁴ × 3089

Divisors: 1, 2, 4, 8, 16, 3089, 6178, 12356, 24712, 49424

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100000100010000

Octal: 140420

Duodecimal: 24728

Hexadecimal: c110

Square: 2442731776

Square Root: 222.31509170544405

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

a(n) = the maximum number of distinct tilings of a polyiamond of size n using any combination of polyiamond tiles of sizes 1 through n. A367172

a(n) = 2·a(n-1) - a(n-3) + 2·a(floor(n/2)) + 3·a(floor(n/3)) + ... + n·a(floor(n/n)), where a(0) = 1, a(1) = 2, a(2) = 3. A298409

Number of (n+2)X(2+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 1 3 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 1 3 6 or 7. A252299

Detour index of n body-centered cubic grid unit cells in a row. A366817

Triangle read by rows, the Bell transform of n!*binomial(4,n) (without column 0). A49424

G.f. A(x) satisfies: A(x) = B(x)*C(x) where B(x) = 1 + x·A(x)*C(x) and C(x) = 1 + 2·x*A(x)*B(x). A258313