Properties of the Number 52289

Fifty-Two Thousand Two Hundred Eighty-Nine

Basics

Value: 52288 → 52289 → 52290

Parity: odd

Prime: Yes

Previous Prime: 52267

Next Prime: 52291

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 52289

Divisors: 1, 52289

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100110001000001

Octal: 146101

Duodecimal: 26315

Hexadecimal: cc41

Square: 2734139521

Square Root: 228.66788143506292

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

G.f.: exp( ∑_n>=1 (xⁿ/n) / ∏_d∣n (1 - d·xⁿ)^d ). A205488

Primes p such that 2p+1, 4p+3, 6p+5 are all primes. A107020

Denominators of continued fraction convergents to sqrt(935). A42809

Primes that are palindromic in factorial base. A333421

Primes of the form m·prime(m) + (m + 1)*prime(m + 1) + (m + 2)*prime(m + 2). A268465

a(n) = [x^(n*(n+1/2)²)] ∏_k=1..n ∑_m>=0 x^k·m². A321181

"DFK" (bracelet, size, unlabeled) transform of 1,2,3,4... A32216

Primes of the form n + sum of proper non-divisors of n. A192560

Primes having only {2, 5, 8, 9} as digits. A386164

a(n) = floor(∑_m=1..n Stirling2(n,m) / binomial(n-1,m-1)). A24422