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86312064 = 273224771
BaseRepresentation
bin1010010010100…
…00010010000000
320000102002220010
411021100102000
5134043441224
612321544520
72065432446
oct511202200
9200362803
1086312064
11447a2593
1224aa5140
1314b60437
14b66ab96
15789de29
hex5250480

86312064 has 32 divisors (see below), whose sum is σ = 229267440. Its totient is φ = 28770560.

The previous prime is 86312063. The next prime is 86312089. The reversal of 86312064 is 46021368.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (86312063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 112002 + ... + 112769.

Almost surely, 286312064 is an apocalyptic number.

It is an amenable number.

86312064 is an abundant number, since it is smaller than the sum of its proper divisors (142955376).

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

86312064 is a wasteful number, since it uses less digits than its factorization.

86312064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224788 (or 224776 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 86312064 is about 9290.4286230507. The cubic root of 86312064 is about 441.9337479099.

The spelling of 86312064 in words is "eighty-six million, three hundred twelve thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 224771 449542 674313 899084 1348626 1798168 2697252 3596336 5394504 7192672 10789008 14385344 21578016 28770688 43156032 86312064