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85521696 = 253131729139
BaseRepresentation
bin1010001100011…
…11010100100000
312221220221201020
411012033110200
5133343143241
612253005440
72055631251
oct506172440
9187827636
1085521696
1144302797
1224783880
1314944770
14b502b28
157794b66
hex518f520

85521696 has 192 divisors, whose sum is σ = 266716800. Its totient is φ = 23740416.

The previous prime is 85521661. The next prime is 85521697. The reversal of 85521696 is 69612558.

It is not an unprimeable number, because it can be changed into a prime (85521697) by changing a digit.

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, 615195 + ... + 615333.

It is an arithmetic number, because the mean of its divisors is an integer number (1389150).

Almost surely, 285521696 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 85521696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133358400).

85521696 is an abundant number, since it is smaller than the sum of its proper divisors (181195104).

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

85521696 is a wasteful number, since it uses less digits than its factorization.

85521696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 203 counting only the distinct ones).

The product of its digits is 129600, while the sum is 42.

The square root of 85521696 is about 9247.7941153553. The cubic root of 85521696 is about 440.5806658679.

The spelling of 85521696 in words is "eighty-five million, five hundred twenty-one thousand, six hundred ninety-six".