Properties of the Number 50078

Fifty Thousand Seventy-Eight

Basics

Value: 50077 → 50078 → 50079

Parity: even

Prime: No

Previous Prime: 50077

Next Prime: 50087

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 × 7 ³ × 73

Divisors: 1, 2, 7, 14, 49, 73, 98, 146, 343, 511

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1100001110011110

Octal: 141636

Duodecimal: 24B92

Hexadecimal: c39e

Square: 2507806084

Square Root: 223.78114308404093

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

a(n) = ∑_d∣n max(d, n/d)³. A297842

Expansion of ∑_0<i<j<k<l q^2*(i+j+k+l-4)/( (1-q^2·i-1)*(1-q^2·j-1)*(1-q^2·k-1)*(1-q^2·l-1) )². A365666

Number of parts in all partitions of n with largest multiplicity three. A320373

Number of length 4 0..n arrays with each partial sum starting from the beginning no more than one standard deviation from its mean. A244792

a(n) = n*φ(n). A2618

G.f. satisfies: x = A(x) - A(A(x))² - A(A(A(x)))³. A177395

Numbers k such that A050076(k) < A050076(k+1). A50078