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86424032 = 253187121
BaseRepresentation
bin1010010011010…
…11100111100000
320000121210111002
411021223213200
5134111032112
612324211132
72066410052
oct511534740
9200553432
1086424032
1144869722
1224b39aa8
1314b9c3a6
14b6998d2
1578c21c2
hex526b9e0

86424032 has 24 divisors (see below), whose sum is σ = 175637952. Its totient is φ = 41817600.

The previous prime is 86424017. The next prime is 86424059. The reversal of 86424032 is 23042468.

It is a super-2 number, since 2×864240322 = 14938226614274048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 86423986 and 86424004.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 42569 + ... + 44552.

It is an arithmetic number, because the mean of its divisors is an integer number (7318248).

Almost surely, 286424032 is an apocalyptic number.

It is an amenable number.

86424032 is an abundant number, since it is smaller than the sum of its proper divisors (89213920).

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

86424032 is a wasteful number, since it uses less digits than its factorization.

86424032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87162 (or 87154 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The square root of 86424032 is about 9296.4526567933. The cubic root of 86424032 is about 442.1247642987.

The spelling of 86424032 in words is "eighty-six million, four hundred twenty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 31 32 62 124 248 496 992 87121 174242 348484 696968 1393936 2700751 2787872 5401502 10803004 21606008 43212016 86424032