Properties of the Number 54538

Fifty-Four Thousand Five Hundred Thirty-Eight

Basics

Value: 54537 → 54538 → 54539

Parity: even

Prime: No

Previous Prime: 54521

Next Prime: 54539

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 × 11 × 37 × 67

Divisors: 1, 2, 11, 22, 37, 67, 74, 134, 407, 737

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: Yes

Tetrahedral: No

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Representations

Binary: 1101010100001010

Octal: 152412

Duodecimal: 2768A

Hexadecimal: d50a

Square: 2974393444

Square Root: 233.5337234747907

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

Numbers k such that k * (k + 8) is the concatenation of a number m with itself. A116292

a(n) = n*(5·n - 3)*(25·n² - 15·n - 6)/8. A264891

Heptagonal numbers which are products of four distinct primes. A351867

G.f. A(x) satisfies: the sum of the coefficients of x^k, k=0..n, in A(x)ⁿ equals (2·n)!²/n!⁴, the square of the central binomial coefficients (A000984), for n>=0. A232606

Numbers n such that the sum of the pentagonal numbers P(n), P(n+1), P(n+2) and P(n+3) is equal to the heptagonal number H(m) for some m. A252769

Numbers k such that the heptagonal number H(k) is equal to the sum of the pentagonal numbers P(m), P(m+1), P(m+2) and P(m+3) for some m. A252770

Numbers k such that the k-th heptagonal number is 4-almost prime. A114554

A000013 / 2. A54538