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85919856 = 24311162727
BaseRepresentation
bin1010001111100…
…00100001110000
312222200011212220
411013300201300
5133443413411
612305321040
72062210131
oct507604160
9188604786
1085919856
1144554950
1224936180
1314a53a69
14b5a7c88
157822b06
hex51f0870

85919856 has 40 divisors (see below), whose sum is σ = 242139264. Its totient is φ = 26036160.

The previous prime is 85919851. The next prime is 85919863. The reversal of 85919856 is 65891958.

It is a junction number, because it is equal to n+sod(n) for n = 85919799 and 85919808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85919851) by changing a digit.

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, 80836 + ... + 81891.

Almost surely, 285919856 is an apocalyptic number.

It is an amenable number.

85919856 is an abundant number, since it is smaller than the sum of its proper divisors (156219408).

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

85919856 is a wasteful number, since it uses less digits than its factorization.

85919856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162749 (or 162743 counting only the distinct ones).

The product of its digits is 777600, while the sum is 51.

The square root of 85919856 is about 9269.2964134286. The cubic root of 85919856 is about 441.2633388954.

The spelling of 85919856 in words is "eighty-five million, nine hundred nineteen thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 162727 325454 488181 650908 976362 1301816 1789997 1952724 2603632 3579994 3905448 5369991 7159988 7810896 10739982 14319976 21479964 28639952 42959928 85919856