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85205856 = 2533128631
BaseRepresentation
bin1010001010000…
…10001101100000
312221022220110110
411011002031200
5133303041411
612242131320
72053144401
oct505021540
9187286413
1085205856
114410746a
1224650b40
1314863a88
14b45d9a8
1577312a6
hex5142360

85205856 has 48 divisors (see below), whose sum is σ = 230888448. Its totient is φ = 27484800.

The previous prime is 85205851. The next prime is 85205863. The reversal of 85205856 is 65850258.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85205851) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11340 + ... + 17291.

It is an arithmetic number, because the mean of its divisors is an integer number (4810176).

Almost surely, 285205856 is an apocalyptic number.

It is an amenable number.

85205856 is an abundant number, since it is smaller than the sum of its proper divisors (145682592).

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

85205856 is a wasteful number, since it uses less digits than its factorization.

85205856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28675 (or 28667 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 39.

The square root of 85205856 is about 9230.7018151384. The cubic root of 85205856 is about 440.0376276361.

The spelling of 85205856 in words is "eighty-five million, two hundred five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 28631 57262 85893 114524 171786 229048 343572 458096 687144 887561 916192 1374288 1775122 2662683 2748576 3550244 5325366 7100488 10650732 14200976 21301464 28401952 42602928 85205856