Properties of the Number -1849

Eight Hundred Forty-Nine

Basics

Value: -1850 → -1849 → -1848

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 43 ²

Divisors: 1, 43, 1849

Polygonal

Triangular: No

Square: Yes

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -11100111001

Octal: -3471

Duodecimal: -10A1

Hexadecimal: -739

Square: 3418801

Square Root: 43

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

Dirichlet g.f.: 1 / ζ(s-2). A334657

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of e.g.f.: exp(∏_j=1..n (1-x^j) - 1). A294254

a(n) = -n² + 9·n + 23. A126719

a(1) = 1, a(2) = -5; a(n) = -n² * ∑_{d∣n, d < n} a(d) / d². A359485

a(1) = 1, a(2) = 3; a(n) = n² * ∑_{d∣n, d < n} (-1)^n/d a(d) / d². A361986

a(1) = 1; a(n) = n² * ∑_{d∣n, d < n} (-1)^n/d a(d) / d². A361987

Abundances of A188484(n). A188487

First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 5", based on the 5-celled von Neumann neighborhood. A270009

E.g.f.: exp((1-x)*(1-x²) - 1). A294255

Expansion of g.f. -(1+27·x²)/((1+3·x)*(1-2·x+9·x²)). A106632