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86522568 = 23311327737
BaseRepresentation
bin1010010100000…
…11101011001000
320000210210122120
411022003223020
5134122210233
612330251240
72100300246
oct512035310
9200723576
1086522568
1144926760
1224b86b20
1314c051b2
14b6c3796
1578e14b3
hex5283ac8

86522568 has 32 divisors (see below), whose sum is σ = 235971360. Its totient is φ = 26218880.

The previous prime is 86522549. The next prime is 86522609.

86522568 is nontrivially palindromic in base 10.

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, 163605 + ... + 164132.

It is an arithmetic number, because the mean of its divisors is an integer number (7374105).

Almost surely, 286522568 is an apocalyptic number.

86522568 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

86522568 is an abundant number, since it is smaller than the sum of its proper divisors (149448792).

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

86522568 is a wasteful number, since it uses less digits than its factorization.

86522568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327757 (or 327753 counting only the distinct ones).

The product of its digits is 230400, while the sum is 42.

The square root of 86522568 is about 9301.7508029403. The cubic root of 86522568 is about 442.2927293826.

The spelling of 86522568 in words is "eighty-six million, five hundred twenty-two thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 327737 655474 983211 1310948 1966422 2621896 3605107 3932844 7210214 7865688 10815321 14420428 21630642 28840856 43261284 86522568