Properties of the Number 37268

Thirty-Seven Thousand Two Hundred Sixty-Eight

Basics

Value: 37267 → 37268 → 37269

Parity: even

Prime: No

Previous Prime: 37253

Next Prime: 37273

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 ² × 7 × 11 ³

Divisors: 1, 2, 4, 7, 11, 14, 22, 28, 44, 77

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001000110010100

Octal: 110624

Duodecimal: 19698

Hexadecimal: 9194

Square: 1388903824

Square Root: 193.0492165226267

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 partitions of n such that m(2) > m(3), where m = multiplicity. A240065

Composite numbers divisible by the palindromic sum of their palindromic prime factors (counted with multiplicity). A46366

Numbers k such that the sum of prime factors of k (counted with multiplicity) equals four times the largest prime divisor of k. A212862

Triangle whose (i,j)-th entry is binomial(i,j)*7^i-j*11^j. A38277

Numbers n such that sopfr(n)/spf(n) is a semiprime and sopfr(n)/lpf(n) is a semiprime, where sopfr(n) = A001414(n) is sum of primes dividing n (with repetition), spf(n) and lpf(n) are smallest and largest primes dividing n, respectively. Also, spf(n)≠lpf(n). A85718

Number of binary strings of length n with equal numbers of 00000 and 10101 substrings. A164189

Triangle whose (i,j)-th entry is binomial(i,j)*11^i-j*7^j. A38321

Sum of reciprocals of digits = 1. A37268