Properties of the Number 19449

Nineteen Thousand Four Hundred Forty-Nine

Basics

Value: 19448 → 19449 → 19450

Parity: odd

Prime: No

Previous Prime: 19447

Next Prime: 19457

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 2161

Divisors: 1, 3, 9, 2161, 6483, 19449

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100101111111001

Octal: 45771

Duodecimal: B309

Hexadecimal: 4bf9

Square: 378263601

Square Root: 139.4596715900335

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

Number of (w,x,y,z) with all terms in {1,...,n} and w·x < 2·y*z. A211795

G.f. A(x) = ∑_n=-oo..+oo xⁿ * (1 + xⁿ)^2·n. A260147

T(n,k)=Number of nXk 0..4 arrays with each element·equal to the number of its horizontal and vertical neighbors equal to 4,2,3,0,1 for x=0,1,2,3,4. A196809

G.f.: exp( ∑_n>=0 [ ∑_k=0..2·n A027907(n,k)² * x^k ]* xⁿ/n ), where A027907 is the triangle of trinomial coefficients. A186236

Expansion of (1 + x⁴ - x⁵)/((1 + x⁴ - x⁵)² - 4·x⁴). A376728

G.f. satisfies A(x) = 1 + x⁴*A(x)*(1 + x·A(x)). A365727

Expansion of ∑_k>=0 (x/(1 - x))^k³. A280351

a(n) = ∑_{k=0..floor(5·n/9)} binomial(k,5·n-9·k). A392356

Number of Dyck n-paths all of whose ascents have lengths equal to 1 (mod 9). A212389

Shifts left under transform T where Ta is product of Partition Triangle A008284 with a. A39808