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85916625 = 3531971163
BaseRepresentation
bin1010001111011…
…11101111010001
312222200000110020
411013233233101
5133443313000
612305254053
72062164534
oct507575721
9188600406
1085916625
1144552483
1224934329
1314a52452
14b5a6a1b
157821ba0
hex51efbd1

85916625 has 32 divisors (see below), whose sum is σ = 143814528. Its totient is φ = 45550400.

The previous prime is 85916591. The next prime is 85916639. The reversal of 85916625 is 52661958.

It is not a de Polignac number, because 85916625 - 26 = 85916561 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73294 + ... + 74456.

It is an arithmetic number, because the mean of its divisors is an integer number (4494204).

Almost surely, 285916625 is an apocalyptic number.

It is an amenable number.

85916625 is a deficient number, since it is larger than the sum of its proper divisors (57897903).

85916625 is a wasteful number, since it uses less digits than its factorization.

85916625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378 (or 1368 counting only the distinct ones).

The product of its digits is 129600, while the sum is 42.

The square root of 85916625 is about 9269.1221267173. The cubic root of 85916625 is about 441.2578076178.

The spelling of 85916625 in words is "eighty-five million, nine hundred sixteen thousand, six hundred twenty-five".

Divisors: 1 3 5 15 25 75 125 197 375 591 985 1163 2955 3489 4925 5815 14775 17445 24625 29075 73875 87225 145375 229111 436125 687333 1145555 3436665 5727775 17183325 28638875 85916625