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85365568 = 2617312531
BaseRepresentation
bin1010001011010…
…01001101000000
312221122000112201
411011221031000
5133323144233
612245402544
72054411131
oct505511500
9187560481
1085365568
1144206462
1224709454
13148bb692
14b4a1c88
15776377d
hex5169340

85365568 has 56 divisors (see below), whose sum is σ = 185220864. Its totient is φ = 38860800.

The previous prime is 85365559. The next prime is 85365569. The reversal of 85365568 is 86556358.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85365569) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32463 + ... + 34993.

Almost surely, 285365568 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 85365568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92610432).

85365568 is an abundant number, since it is smaller than the sum of its proper divisors (99855296).

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

85365568 is a wasteful number, since it uses less digits than its factorization.

85365568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2591 (or 2581 counting only the distinct ones).

The product of its digits is 864000, while the sum is 46.

The square root of 85365568 is about 9239.3488948086. The cubic root of 85365568 is about 440.3123952302.

The spelling of 85365568 in words is "eighty-five million, three hundred sixty-five thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 16 17 31 32 34 62 64 68 124 136 248 272 496 527 544 992 1054 1088 1984 2108 2531 4216 5062 8432 10124 16864 20248 33728 40496 43027 78461 80992 86054 156922 161984 172108 313844 344216 627688 688432 1255376 1333837 1376864 2510752 2667674 2753728 5021504 5335348 10670696 21341392 42682784 85365568