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85791408 = 24311315817
BaseRepresentation
bin1010001110100…
…01001010110000
312222102122200120
411013101022300
5133430311113
612302450240
72061133503
oct507211260
9188378616
1085791408
114447739a
1224893980
1314a0a461
14b57313a
1577e9a23
hex51d12b0

85791408 has 40 divisors (see below), whose sum is σ = 223603248. Its totient is φ = 28342272.

The previous prime is 85791337. The next prime is 85791413. The reversal of 85791408 is 80419758.

It is a self number, because there is not a number n which added to its sum of digits gives 85791408.

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 7 ways as a sum of consecutive naturals, for example, 2485 + ... + 13332.

Almost surely, 285791408 is an apocalyptic number.

It is an amenable number.

85791408 is an abundant number, since it is smaller than the sum of its proper divisors (137811840).

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

85791408 is a wasteful number, since it uses less digits than its factorization.

85791408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15941 (or 15935 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The square root of 85791408 is about 9262.3651407186. The cubic root of 85791408 is about 441.0433367359.

The spelling of 85791408 in words is "eighty-five million, seven hundred ninety-one thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 113 226 339 452 678 904 1356 1808 2712 5424 15817 31634 47451 63268 94902 126536 189804 253072 379608 759216 1787321 3574642 5361963 7149284 10723926 14298568 21447852 28597136 42895704 85791408