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85208652 = 22332334303
BaseRepresentation
bin1010001010000…
…10111001001100
312221100001022000
411011002321030
5133303134102
612242152300
72053155504
oct505027114
9187301260
1085208652
1144109581
1224652690
1314865129
14b460a04
15773201c
hex5142e4c

85208652 has 48 divisors (see below), whose sum is σ = 230522880. Its totient is φ = 27167184.

The previous prime is 85208647. The next prime is 85208663. The reversal of 85208652 is 25680258.

85208652 is a `hidden beast` number, since 8 + 520 + 86 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 14668 + ... + 19635.

It is an arithmetic number, because the mean of its divisors is an integer number (4802560).

Almost surely, 285208652 is an apocalyptic number.

It is an amenable number.

85208652 is an abundant number, since it is smaller than the sum of its proper divisors (145314228).

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

85208652 is a wasteful number, since it uses less digits than its factorization.

85208652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34339 (or 34331 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 85208652 is about 9230.8532650021. The cubic root of 85208652 is about 440.0424408098.

The spelling of 85208652 in words is "eighty-five million, two hundred eight thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 276 414 621 828 1242 2484 34303 68606 102909 137212 205818 308727 411636 617454 788969 926181 1234908 1577938 1852362 2366907 3155876 3704724 4733814 7100721 9467628 14201442 21302163 28402884 42604326 85208652