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85993810 = 2571924183
BaseRepresentation
bin1010010000000…
…10100101010010
312222210221022221
411020002211102
5134003300220
612311051254
72062635550
oct510024522
9188727287
1085993810
11445a5471
1224970b2a
1314a7b616
14b5c6bd0
1578399aa
hex5202952

85993810 has 96 divisors (see below), whose sum is σ = 193560192. Its totient is φ = 26922240.

The previous prime is 85993807. The next prime is 85993891. The reversal of 85993810 is 1839958.

It is a super-2 number, since 2×859938102 = 14789870716632200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1036029 + ... + 1036111.

It is an arithmetic number, because the mean of its divisors is an integer number (2016252).

Almost surely, 285993810 is an apocalyptic number.

85993810 is an abundant number, since it is smaller than the sum of its proper divisors (107566382).

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

85993810 is a wasteful number, since it uses less digits than its factorization.

85993810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 43.

The square root of 85993810 is about 9273.2847470570. The cubic root of 85993810 is about 441.3899057999.

The spelling of 85993810 in words is "eighty-five million, nine hundred ninety-three thousand, eight hundred ten".

Divisors: 1 2 5 7 10 14 19 35 38 41 70 82 83 95 133 166 190 205 266 287 361 410 415 574 581 665 722 779 830 1162 1330 1435 1558 1577 1805 2527 2870 2905 3154 3403 3610 3895 5054 5453 5810 6806 7790 7885 10906 11039 12635 14801 15770 17015 22078 23821 25270 27265 29602 29963 34030 47642 54530 55195 59926 64657 74005 103607 110390 119105 129314 148010 149815 207214 209741 238210 299630 323285 419482 452599 518035 646570 905198 1036070 1048705 1228483 2097410 2262995 2456966 4525990 6142415 8599381 12284830 17198762 42996905 85993810