Properties of the Number 57792

Fifty-Seven Thousand Seven Hundred Ninety-Two

Basics

Value: 57791 → 57792 → 57793

Parity: even

Prime: No

Previous Prime: 57791

Next Prime: 57793

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 2 ⁶ × 3 × 7 × 43

Divisors: 1, 2, 3, 4, 6, 7, 8, 12, 14, 16

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110000111000000

Octal: 160700

Duodecimal: 29540

Hexadecimal: e1c0

Square: 3339915264

Square Root: 240.39966722106752

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 lattice paths in plane starting at (0,0) and ending at (n,n) with steps from {(i,j): i+j > 0, i, j >= 0} that never go below the line y = x. A59435

Constant term in the reduction of the polynomial p(n,x) defined at A162517 and below in Comments. A192373

Triangle read by rows: T(n,k) = ∑_{i <= n, j <= k, (i,j) <> (n,k)} T(i,j), starting with T(1,1) = 1, for n >= 1 and 1 <= k <= n. A192933

Sum of the areas of the distinct rectangles (and the areas of the squares on their sides) with positive integer sides such that L + W = n, W < L. A294139

Numbers n such that φ(σ(n)) = 5*φ(n). A67708

Numbers m such that the denominator of m/ρ(m) is 3, where ρ is A206369; i.e. A294649(m) = 3. A297358

Sum[k^k], where sum is over positive integers, k, where k <= n and gcd(k,n) = 1. A57792

The records for distance squared for step lengths between adjacent composite numbers in A332767, the visited composite numbers for a walk stepping to the closest unvisited composite number on the 2D square (Ulam) spiral. A330782

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