Properties of the Number 28378

Twenty-Eight Thousand Three Hundred Seventy-Eight

Basics

Value: 28377 → 28378 → 28379

Parity: even

Prime: No

Previous Prime: 28351

Next Prime: 28387

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 2 × 7 × 2027

Divisors: 1, 2, 7, 14, 2027, 4054, 14189, 28378

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110111011011010

Octal: 67332

Duodecimal: 1450A

Hexadecimal: 6eda

Square: 805310884

Square Root: 168.45770982653184

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

Numerator of sum of reciprocals of first n pentatope numbers A000332. A118411

Least integer k such that k/2ⁿ > sqrt(3). A293325

The integer k that minimizes |k/2ⁿ - sqrt(3)|. A293326

Number of (finite) line segments formed by drawing all least squares regression lines fitted to n points (j,y_j), 0 <= j < n, where each y_j is 0 or 1. A371438

a(n) = ∑_k=1..n (k+2)!/k! = ∑_k=1..n (k+2)*(k+1). A180118

Number of nondecreasing arrangements of 5 numbers in -(n+3)..(n+3) with sum zero and not more than two numbers equal. A188238

Expansion of f(-x³, -x⁵) * f(x³, x¹³) / (f(-x, -x²) * f(-x⁸, -x¹⁶)) in powers of·where f(, ) is Ramanujan's general θ function. A258939

Number of nXnXn triangular binary arrays with all 1s connected, no 1 having more than 3 1s adjacent, and a path of 1s from peak vertex to anywhere on the bottom side. A163882

Triangle read by rows: the n-th row gives the least sequence of n consecutive numbers with the same number of divisors. A376557

a(n) = coefficient of xⁿ in A(x) where A(x)² = A( x²/(1 - 4·x - 8·x²) ). A357548