Properties of the Number -478

Four Hundred Seventy-Eight

Basics

Value: -479 → -478 → -477

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 × 239

Divisors: 1, 2, 239, 478

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -111011110

Octal: -736

Duodecimal: -33A

Hexadecimal: -1de

Square: 228484

Square Root: 21.863211109075447

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

McKay-Thompson series of class 36B for the Monster group. A62244

Expansion of q^-1/2 * (η(q) * η(q²))⁴ in powers of q. A30211

a(n) = ∑_k=1..n μ(k)*k². A336276

Partial alternating sums of Pillai's arithmetical function (A018804). A370895

Glaisher's chi₈(n). A2607

Triangle read by rows: coefficients of polynomials p(k) = (-x + k + 1)*p(k-1), starting p(0)=1, p(1)=1-x. A123319

Expansion of q^-1/8* η(q)⁵* η(q²)³/ η(q⁴)² in powers of q. A128712

Expansion of (φ(x) * ψ(-x))⁴ in powers of·where φ(), ψ() are Ramanujan θ functions. A134461

G.f. A(x,y) satisfies: A(x,y) = x·y + 1/A(x,x·y), with A(0,y) = 1. A275760

G.f. A(x,y) satisfies: ∑_n=-oo...+oo (xⁿ + y)ⁿ = exp( (1-y) * A(x,y) ) / (1-y), where A(x,y) = ∑_n>=1 xⁿ/n·Sum{k=0..n-1} T(n,k)*y^k, written here as a flattened triangle of coefficients T(n,k) read by rows. A321600