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86080064 = 267227449
BaseRepresentation
bin1010010000101…
…11101001000000
312222222022122112
411020113221000
5134014030224
612312554452
72063445200
oct510275100
9188868575
1086080064
1144654254
12249b2a28
1314aab965
14b60a400
15785530e
hex5217a40

86080064 has 42 divisors (see below), whose sum is σ = 198710550. Its totient is φ = 36890112.

The previous prime is 86080021. The next prime is 86080081. The reversal of 86080064 is 46008068.

It can be written as a sum of positive squares in only one way, i.e., 80281600 + 5798464 = 8960^2 + 2408^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 86080064.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10589 + ... + 16860.

Almost surely, 286080064 is an apocalyptic number.

It is an amenable number.

86080064 is an abundant number, since it is smaller than the sum of its proper divisors (112630486).

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

86080064 is a wasteful number, since it uses less digits than its factorization.

86080064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27475 (or 27458 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 86080064 is about 9277.9342528388. The cubic root of 86080064 is about 441.5374316241.

The spelling of 86080064 in words is "eighty-six million, eighty thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 27449 54898 109796 192143 219592 384286 439184 768572 878368 1345001 1537144 1756736 2690002 3074288 5380004 6148576 10760008 12297152 21520016 43040032 86080064