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85899968 = 2671117431
BaseRepresentation
bin1010001111010…
…11101011000000
312222122011121022
411013223223000
5133442244333
612305045012
72062065140
oct507535300
9188564538
1085899968
1144540a10
1224926768
1314a479ab
14b5a0920
15781bc98
hex51ebac0

85899968 has 56 divisors (see below), whose sum is σ = 212530944. Its totient is φ = 33465600.

The previous prime is 85899953. The next prime is 85900013. The reversal of 85899968 is 86999858.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a self number, because there is not a number n which added to its sum of digits gives 85899968.

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 7 ways as a sum of consecutive naturals, for example, 3788 + ... + 13643.

Almost surely, 285899968 is an apocalyptic number.

85899968 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

85899968 is an abundant number, since it is smaller than the sum of its proper divisors (126630976).

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

85899968 is a wasteful number, since it uses less digits than its factorization.

85899968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17461 (or 17451 counting only the distinct ones).

The product of its digits is 11197440, while the sum is 62.

The square root of 85899968 is about 9268.2235622583. The cubic root of 85899968 is about 441.2292896356.

The spelling of 85899968 in words is "eighty-five million, eight hundred ninety-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 224 308 352 448 616 704 1232 2464 4928 17431 34862 69724 122017 139448 191741 244034 278896 383482 488068 557792 766964 976136 1115584 1342187 1533928 1952272 2684374 3067856 3904544 5368748 6135712 7809088 10737496 12271424 21474992 42949984 85899968