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88288928 = 2571330319
BaseRepresentation
bin1010100001100…
…10111010100000
320011010112122022
411100302322200
5140100221203
612432201012
72121305060
oct520627240
9204115568
1088288928
1145922862
1225699168
13153a3190
14ba233a0
157b3ea38
hex5432ea0

88288928 has 48 divisors (see below), whose sum is σ = 213937920. Its totient is φ = 34926336.

The previous prime is 88288913. The next prime is 88288951. The reversal of 88288928 is 82988288.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 88288928.

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 7 ways as a sum of consecutive naturals, for example, 12248 + ... + 18071.

It is an arithmetic number, because the mean of its divisors is an integer number (4457040).

Almost surely, 288288928 is an apocalyptic number.

It is an amenable number.

88288928 is an abundant number, since it is smaller than the sum of its proper divisors (125648992).

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

88288928 is a wasteful number, since it uses less digits than its factorization.

88288928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30349 (or 30341 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 53.

The square root of 88288928 is about 9396.2188139698. The cubic root of 88288928 is about 445.2822818678.

The spelling of 88288928 in words is "eighty-eight million, two hundred eighty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 1456 2912 30319 60638 121276 212233 242552 394147 424466 485104 788294 848932 970208 1576588 1697864 2759029 3153176 3395728 5518058 6306352 6791456 11036116 12612704 22072232 44144464 88288928