Properties of the Number 528

Five Hundred Twenty-Eight

Basics

Value: 527 → 528 → 529

Parity: even

Prime: No

Previous Prime: 523

Next Prime: 541

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ⁴ × 3 × 11

Divisors: 1, 2, 3, 4, 6, 8, 11, 12, 16, 22

Polygonal

Triangular: Yes

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000010000

Octal: 1020

Duodecimal: 380

Hexadecimal: 210

Square: 278784

Square Root: 22.978250586152114

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

Triangular numbers: a(n) = binomial(n+1,2) = n*(n+1)/2 = 0 + 1 + 2 + ... + n. A217

a(n) = n*(n+2) = (n+1)² - 1. A5563

Second hexagonal numbers: a(n) = n*(2·n + 1). A14105

Numbers of the form 2^n-1*(2^n·m-1)/(2ⁿ-1), n >= 1, m >= 1. A272919

Jordan function J₂(n) (a generalization of φ(n)). A7434

Number of (n-1)-bead black-white reversible strings; also binary grids; also row sums of Losanitsch's triangle A034851; also number of caterpillar graphs on n+2 vertices. A5418

8 times triangular numbers: a(n) = 4·n*(n+1). A33996

a(1) = 0; for n > 1, a(n) = A000203(A156552(n)). A323243

Sums of two distinct powers of 2. A18900

Number of partitions of n into parts 3k and 3k+1 with at least one part of each type. A35618