Properties of the Number 52752

Fifty-Two Thousand Seven Hundred Fifty-Two

Basics

Value: 52751 → 52752 → 52753

Parity: even

Prime: No

Previous Prime: 52747

Next Prime: 52757

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ⁴ × 3 × 7 × 157

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

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1100111000010000

Octal: 147020

Duodecimal: 26640

Hexadecimal: ce10

Square: 2782773504

Square Root: 229.67803551928947

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+1)X(k+1) arrays of permutations of 0..(n+1)*(k+1)-1 with each element having index change (+-,+-) 0,0 1,1 or 1,2. A263964

T(n,k)=Number of (n+1)X(k+1) arrays of permutations of 0..(n+1)*(k+1)-1 with each element having index change (+-,+-) 0,2 1,1 or 1,0. A263973

Number of distinct edges among all circles that can be constructed on vertices of an n-sided regular polygon, using only a compass. A359047

θ series of direct sum of 4 copies of hexagonal lattice. A8655

Number of (1+1)X(n+1) arrays of permutations of 0..n·2+1 with each element having index change (+-,+-) 0,0 1,1 or 1,2. A263965

McKay-Thompson series of class 20B for Monster. A58551

T(n,k) = [x^k] ∏_m=1..n d/dx ∑_i=1..m xⁱ; triangle read by rows, n >= 0, 0 <= k <= A161680(n). A139769

Number of n X 2 arrays of the minimum value of corresponding elements and their horizontal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..2 n X 2 array. A219621

Number of nX6 0..1 arrays with every element unequal to 0, 1, 3, 5, 6 or 7 king-move adjacent elements, with upper left element zero. A306170

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