Properties of the Number 42528

Forty-Two Thousand Five Hundred Twenty-Eight

Basics

Value: 42527 → 42528 → 42529

Parity: even

Prime: No

Previous Prime: 42509

Next Prime: 42533

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ⁵ × 3 × 443

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1010011000100000

Octal: 123040

Duodecimal: 20740

Hexadecimal: a620

Square: 1808630784

Square Root: 206.22318007440387

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

Expansion of theta₃ / theta₄. A7096

a(n) = (n⁵ - 5·n⁴ + 5·n³ + 5·n² + 114·n + 120)/120. A161701

Expansion of (theta₃(q) / theta₄(q))² in powers of q. A14969

Expansion of φ(q²)² / (φ(-q) * φ(q⁴)) in powers of q where φ() is a Ramanujan θ function. A212318

Expansion of (φ(-q) / φ(q))² in powers of q where φ() is a Ramanujan θ function. A139820

Expansion of theta₄/theta₃ in powers of q. A189925

Expansion of φ(q²)² / (φ(q) * φ(q⁴)) in powers of q where φ() is a Ramanujan θ function. A232358

Numbers that are the sum of fourth powers of three distinct positive integers in arithmetic progression. A306214

Indices where A092243 strictly changes sign. A269737

McKay-Thompson series of class 32A for Monster. A58629