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52059832 = 23114147307
BaseRepresentation
bin1100011010010…
…1111010111000
310121221220122221
43012211322320
5101311403312
65055453424
71201333636
oct306457270
9117856587
1052059832
1127428360
1215527274
13aa29b46
146cb2356
154885207
hex31a5eb8

52059832 has 64 divisors (see below), whose sum is σ = 111767040. Its totient is φ = 22521600.

The previous prime is 52059773. The next prime is 52059853. The reversal of 52059832 is 23895025.

It is a super-2 number, since 2×520598322 = 5420452215736448, which contains 22 as substring.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169423 + ... + 169729.

It is an arithmetic number, because the mean of its divisors is an integer number (1746360).

Almost surely, 252059832 is an apocalyptic number.

52059832 is the 3608-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52059832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55883520).

52059832 is an abundant number, since it is smaller than the sum of its proper divisors (59707208).

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

52059832 is a wasteful number, since it uses less digits than its factorization.

52059832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The square root of 52059832 is about 7215.2499610201. The cubic root of 52059832 is about 373.3942169696.

The spelling of 52059832 in words is "fifty-two million, fifty-nine thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 11 22 41 44 47 82 88 94 164 188 307 328 376 451 517 614 902 1034 1228 1804 1927 2068 2456 3377 3608 3854 4136 6754 7708 12587 13508 14429 15416 21197 25174 27016 28858 42394 50348 57716 84788 100696 115432 138457 158719 169576 276914 317438 553828 591589 634876 1107656 1183178 1269752 2366356 4732712 6507479 13014958 26029916 52059832