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85128656 = 2417476659
BaseRepresentation
bin1010001001011…
…11010111010000
312221011222120012
411010233113100
5133243104111
612240334052
72052403334
oct504572720
9187158505
1085128656
1144064468
1224614328
13148378b2
14b43d7c4
15771848b
hex512f5d0

85128656 has 40 divisors (see below), whose sum is σ = 178381440. Its totient is φ = 39202304.

The previous prime is 85128623. The next prime is 85128661. The reversal of 85128656 is 65682158.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9455 + ... + 16113.

It is an arithmetic number, because the mean of its divisors is an integer number (4459536).

Almost surely, 285128656 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 85128656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89190720).

85128656 is an abundant number, since it is smaller than the sum of its proper divisors (93252784).

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

85128656 is a wasteful number, since it uses less digits than its factorization.

85128656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6731 (or 6725 counting only the distinct ones).

The product of its digits is 115200, while the sum is 41.

The square root of 85128656 is about 9226.5191703047. The cubic root of 85128656 is about 439.9046900999.

The spelling of 85128656 in words is "eighty-five million, one hundred twenty-eight thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 17 34 47 68 94 136 188 272 376 752 799 1598 3196 6392 6659 12784 13318 26636 53272 106544 113203 226406 312973 452812 625946 905624 1251892 1811248 2503784 5007568 5320541 10641082 21282164 42564328 85128656