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85402112 = 29198779
BaseRepresentation
bin1010001011100…
…10001000000000
312221200212200012
411011302020000
5133330331422
612250244052
72054622515
oct505621000
9187625605
1085402112
1144230964
1224726628
13149021c3
14b4b130c
15776e4e2
hex5172200

85402112 has 40 divisors (see below), whose sum is σ = 179638800. Its totient is φ = 40449024.

The previous prime is 85402111. The next prime is 85402193. The reversal of 85402112 is 21120458.

It is not an unprimeable number, because it can be changed into a prime (85402111) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5339 + ... + 14117.

It is an arithmetic number, because the mean of its divisors is an integer number (4490970).

Almost surely, 285402112 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 85402112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89819400).

85402112 is an abundant number, since it is smaller than the sum of its proper divisors (94236688).

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

85402112 is an equidigital number, since it uses as much as digits as its factorization.

85402112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8816 (or 8800 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 85402112 is about 9241.3263117369. The cubic root of 85402112 is about 440.3752171266.

The spelling of 85402112 in words is "eighty-five million, four hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 512 608 1216 2432 4864 8779 9728 17558 35116 70232 140464 166801 280928 333602 561856 667204 1123712 1334408 2247424 2668816 4494848 5337632 10675264 21350528 42701056 85402112