Properties of the Number 52695

Fifty-Two Thousand Six Hundred Ninety-Five

Basics

Value: 52694 → 52695 → 52696

Parity: odd

Prime: No

Previous Prime: 52691

Next Prime: 52697

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5 × 1171

Divisors: 1, 3, 5, 9, 15, 45, 1171, 3513, 5855, 10539

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1100110111010111

Octal: 146727

Duodecimal: 265B3

Hexadecimal: cdd7

Square: 2776763025

Square Root: 229.5539152356152

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

Consider a number of k digits n = d_k*10^k-1 + d_k-1*10^k-2 + … + d₂*10 + d₁. Sequence lists the numbers n such that ∑_i=1..k-1{φ(∑_j=1..i{d_j*10^j-1})} = ∑_i=1..k-1{σ(∑_j=1..i{d_k-j+1*10^i-j})} (see example below). A244069

a(n) = 13*(2ⁿ - 1) - 3·n² - 9·n. A257448

Number of Section I primes between 2ⁿ and 2ⁿ⁺¹. See A135832. A135833

Number of length n arrays of permutations of 0..n-1 with each element moved by -7 to 7 places and the average of every three consecutive elements is never greater than the median of the previous three elements. A263733

Expansion of e.g.f. (2-5·x)/((1-x)*(1-4·x)). A52695

Number of (n+1) X 3 0..3 arrays with every 2 X 2 subblock having zero permanent. A206249