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85630636 = 2273134801
BaseRepresentation
bin1010001101010…
…01111010101100
312222010111011001
411012221322230
5133410140021
612255210044
72056564000
oct506517254
9188114131
1085630636
1144377623
1224816924
1314982220
14b530700
1577b7091
hex51a9eac

85630636 has 48 divisors (see below), whose sum is σ = 188238400. Its totient is φ = 33868800.

The previous prime is 85630631. The next prime is 85630651. The reversal of 85630636 is 63603658.

It is a junction number, because it is equal to n+sod(n) for n = 85630595 and 85630604.

It is not an unprimeable number, because it can be changed into a prime (85630631) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15436 + ... + 20236.

Almost surely, 285630636 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 85630636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94119200).

85630636 is an abundant number, since it is smaller than the sum of its proper divisors (102607764).

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

85630636 is a wasteful number, since it uses less digits than its factorization.

85630636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4839 (or 4823 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 37.

The square root of 85630636 is about 9253.6822940924. The cubic root of 85630636 is about 440.7676612716.

The spelling of 85630636 in words is "eighty-five million, six hundred thirty thousand, six hundred thirty-six".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 182 196 343 364 637 686 1274 1372 2548 4459 4801 8918 9602 17836 19204 33607 62413 67214 124826 134428 235249 249652 436891 470498 873782 940996 1646743 1747564 3058237 3293486 6116474 6586972 12232948 21407659 42815318 85630636