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52926 = 238821
BaseRepresentation
bin1100111010111110
32200121020
430322332
53143201
61045010
7310206
oct147276
980536
1052926
1136845
1226766
131b123
1415406
1510a36
hexcebe

52926 has 8 divisors (see below), whose sum is σ = 105864. Its totient is φ = 17640.

The previous prime is 52919. The next prime is 52937. The reversal of 52926 is 62925.

It is a sphenic number, since it is the product of 3 distinct primes.

52926 is an admirable number.

It is a super-2 number, since 2×529262 = 5602322952, which contains 22 as substring.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 52896 and 52905.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 52926.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4405 + ... + 4416.

It is an arithmetic number, because the mean of its divisors is an integer number (13233).

252926 is an apocalyptic number.

52926 is the 146-th centered pentagonal number.

52926 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52932).

52926 is a wasteful number, since it uses less digits than its factorization.

52926 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8826.

The product of its digits is 1080, while the sum is 24.

The square root of 52926 is about 230.0565147958. The cubic root of 52926 is about 37.5453673149.

Subtracting 52926 from its reverse (62925), we obtain a palindrome (9999).

It can be divided in two parts, 529 and 26, that added together give a palindrome (555).

The spelling of 52926 in words is "fifty-two thousand, nine hundred twenty-six".

Divisors: 1 2 3 6 8821 17642 26463 52926