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85626520 = 23573792
BaseRepresentation
bin1010001101010…
…00111010011000
312222010021111121
411012220322120
5133410022040
612255135024
72056546000
oct506507230
9188107447
1085626520
1144374521
1224814474
13149803a5
14b52d000
1577b5c4a
hex51a8e98

85626520 has 96 divisors (see below), whose sum is σ = 227556000. Its totient is φ = 28986048.

The previous prime is 85626509. The next prime is 85626529. The reversal of 85626520 is 2562658.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85626529) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1083841 + ... + 1083919.

It is an arithmetic number, because the mean of its divisors is an integer number (2370375).

Almost surely, 285626520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85626520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113778000).

85626520 is an abundant number, since it is smaller than the sum of its proper divisors (141929480).

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

85626520 is an equidigital number, since it uses as much as digits as its factorization.

85626520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The square root of 85626520 is about 9253.4598934669. The cubic root of 85626520 is about 440.7605990454.

The spelling of 85626520 in words is "eighty-five million, six hundred twenty-six thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 79 98 140 158 196 245 280 316 343 392 395 490 553 632 686 790 980 1106 1372 1580 1715 1960 2212 2744 2765 3160 3430 3871 4424 5530 6241 6860 7742 11060 12482 13720 15484 19355 22120 24964 27097 30968 31205 38710 43687 49928 54194 62410 77420 87374 108388 124820 135485 154840 174748 216776 218435 249640 270970 305809 349496 436870 541940 611618 873740 1083880 1223236 1529045 1747480 2140663 2446472 3058090 4281326 6116180 8562652 10703315 12232360 17125304 21406630 42813260 85626520