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86146688 = 272932297
BaseRepresentation
bin1010010001001…
…11111010000000
320000002201001002
411020213322000
5134023143223
612314231132
72064143345
oct510477200
9200081032
1086146688
114469a311
1224a254a8
1314b03094
14b6267cc
157869e28
hex5227e80

86146688 has 32 divisors (see below), whose sum is σ = 172281060. Its totient is φ = 42907648.

The previous prime is 86146679. The next prime is 86146691. The reversal of 86146688 is 88664168.

It can be written as a sum of positive squares in 2 ways, for example, as 80425024 + 5721664 = 8968^2 + 2392^2 .

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

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 3 ways as a sum of consecutive naturals, for example, 36356 + ... + 38652.

Almost surely, 286146688 is an apocalyptic number.

It is an amenable number.

86146688 is a deficient number, since it is larger than the sum of its proper divisors (86134372).

86146688 is a wasteful number, since it uses less digits than its factorization.

86146688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2604 (or 2592 counting only the distinct ones).

The product of its digits is 442368, while the sum is 47.

The square root of 86146688 is about 9281.5240127901. The cubic root of 86146688 is about 441.6513155378.

The spelling of 86146688 in words is "eighty-six million, one hundred forty-six thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 16 32 64 128 293 586 1172 2297 2344 4594 4688 9188 9376 18376 18752 36752 37504 73504 147008 294016 673021 1346042 2692084 5384168 10768336 21536672 43073344 86146688