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85960928 = 254165519
BaseRepresentation
bin1010001111110…
…10100011100000
312222202021020002
411013322203200
5134001222203
612310235132
72062440644
oct507724340
9188667202
1085960928
1144582799
1224955aa8
1314a69671
14b5b8c24
15782ed88
hex51fa8e0

85960928 has 24 divisors (see below), whose sum is σ = 173365920. Its totient is φ = 41931520.

The previous prime is 85960877. The next prime is 85960939. The reversal of 85960928 is 82906958.

It is a super-2 number, since 2×859609282 = 14778562285242368, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 31448 + ... + 34071.

It is an arithmetic number, because the mean of its divisors is an integer number (7223580).

Almost surely, 285960928 is an apocalyptic number.

It is an amenable number.

85960928 is an abundant number, since it is smaller than the sum of its proper divisors (87404992).

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

85960928 is a wasteful number, since it uses less digits than its factorization.

85960928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65570 (or 65562 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 47.

The square root of 85960928 is about 9271.5116351111. The cubic root of 85960928 is about 441.3336396059. Note that the first 3 decimals are identical.

The spelling of 85960928 in words is "eighty-five million, nine hundred sixty thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 32 41 82 164 328 656 1312 65519 131038 262076 524152 1048304 2096608 2686279 5372558 10745116 21490232 42980464 85960928