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52665252 = 22317534871
BaseRepresentation
bin1100100011100…
…1101110100100
310200002200010220
43020321232210
5101440242002
65120444340
71206435003
oct310715644
9120080126
1052665252
1127801202
12157796b0
13abac593
146dccc3a
1549547bc
hex3239ba4

52665252 has 48 divisors (see below), whose sum is σ = 132596352. Its totient is φ = 16207360.

The previous prime is 52665233. The next prime is 52665257. The reversal of 52665252 is 25256625.

52665252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (52665257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8377 + ... + 13247.

It is an arithmetic number, because the mean of its divisors is an integer number (2762424).

Almost surely, 252665252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52665252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66298176).

52665252 is an abundant number, since it is smaller than the sum of its proper divisors (79931100).

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

52665252 is a wasteful number, since it uses less digits than its factorization.

52665252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4948 (or 4946 counting only the distinct ones).

The product of its digits is 36000, while the sum is 33.

The square root of 52665252 is about 7257.0828850165. The cubic root of 52665252 is about 374.8360812477.

The spelling of 52665252 in words is "fifty-two million, six hundred sixty-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 17 34 51 53 68 102 106 159 204 212 318 636 901 1802 2703 3604 4871 5406 9742 10812 14613 19484 29226 58452 82807 165614 248421 258163 331228 496842 516326 774489 993684 1032652 1548978 3097956 4388771 8777542 13166313 17555084 26332626 52665252