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85012686 = 23311167857
BaseRepresentation
bin1010001000100…
…11000011001110
312220222002111000
411010103003032
5133230401221
612234041130
72051411253
oct504230316
9186862430
1085012686
1143a95320
12245791a6
13147c6b85
14b40d42a
1576e3e26
hex51130ce

85012686 has 64 divisors (see below), whose sum is σ = 207567360. Its totient is φ = 25577280.

The previous prime is 85012663. The next prime is 85012691. The reversal of 85012686 is 68621058.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 85012686.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 98770 + ... + 99626.

It is an arithmetic number, because the mean of its divisors is an integer number (3243240).

Almost surely, 285012686 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85012686, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103783680).

85012686 is an abundant number, since it is smaller than the sum of its proper divisors (122554674).

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

85012686 is a wasteful number, since it uses less digits than its factorization.

85012686 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 85012686 is about 9220.2324265715. The cubic root of 85012686 is about 439.7048399243.

The spelling of 85012686 in words is "eighty-five million, twelve thousand, six hundred eighty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 167 198 297 334 501 594 857 1002 1503 1714 1837 2571 3006 3674 4509 5142 5511 7713 9018 9427 11022 15426 16533 18854 23139 28281 33066 46278 49599 56562 84843 99198 143119 169686 254529 286238 429357 509058 858714 1288071 1574309 2576142 3148618 3864213 4722927 7728426 9445854 14168781 28337562 42506343 85012686