Properties of the Number 52769

Fifty-Two Thousand Seven Hundred Sixty-Nine

Basics

Value: 52768 → 52769 → 52770

Parity: odd

Prime: Yes

Previous Prime: 52757

Next Prime: 52783

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 52769

Divisors: 1, 52769

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1100111000100001

Octal: 147041

Duodecimal: 26655

Hexadecimal: ce21

Square: 2784567361

Square Root: 229.71504086585188

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

Sum of largest parts of all partitions of n into an odd number of parts. A222047

a(n) = [ a(n-1)/a(1) ] + [ a(n-2)/a(2) ] + ... + [ a(1)/a(n-1) ], for n >= 3. A22858

Records in A079375. A79376

Number of proper factorizations of p1ⁿ*p2², where p1 and p2 are distinct primes. A31125

Primes from merging of 5 successive digits in decimal expansion of (π²). A104928

Number of n X 3 0,1 arrays indicating 2 X 2 subblocks of some larger (n+1) X 4 binary array having determinant equal to one, with rows and columns of the latter in nondecreasing lexicographic order. A227638

Number of n-digit primes whose sum of digits is 7. A259144

E.g.f.: x³*(exp(x)-1)². A52769

Equals two maps: number of nX2 binary arrays indicating the locations of corresponding elements equal to exactly two of their horizontal, vertical and antidiagonal neighbors in a random 0..3 nX2 array. A220529