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86350888 = 23133173
BaseRepresentation
bin1010010010110…
…01110000101000
320000111002011001
411021121300220
5134101212023
612322444344
72065653601
oct511316050
9200432131
1086350888
1144819778
1224b036b4
1314b75000
14b67ada8
1578aa6ad
hex5259c28

86350888 has 64 divisors (see below), whose sum is σ = 186354000. Its totient is φ = 37509888.

The previous prime is 86350843. The next prime is 86350921. The reversal of 86350888 is 88805368.

It is a happy number.

The cubic root of 86350888 is 442.

It is a perfect power (a cube), and thus also a powerful number.

It can be written as a sum of positive squares in 8 ways, for example, as 1747684 + 84603204 = 1322^2 + 9198^2 .

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 5079456 + ... + 5079472.

Almost surely, 286350888 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 86350888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93177000).

86350888 is an abundant number, since it is smaller than the sum of its proper divisors (100003112).

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

86350888 is an equidigital number, since it uses as much as digits as its factorization.

86350888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 32 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 46.

The square root of 86350888 is about 9292.5178503999.

The spelling of 86350888 in words is "eighty-six million, three hundred fifty thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 169 221 289 338 442 578 676 884 1156 1352 1768 2197 2312 2873 3757 4394 4913 5746 7514 8788 9826 11492 15028 17576 19652 22984 30056 37349 39304 48841 63869 74698 97682 127738 149396 195364 255476 298792 390728 510952 634933 830297 1269866 1660594 2539732 3321188 5079464 6642376 10793861 21587722 43175444 86350888