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85642518 = 23131497369
BaseRepresentation
bin1010001101011…
…00110100010110
312222011002110010
411012230310112
5133411030033
612255341050
72056643433
oct506546426
9188132403
1085642518
1144385545
1224821786
1314987760
14b534b8a
1577ba863
hex51acd16

85642518 has 32 divisors (see below), whose sum is σ = 185724000. Its totient is φ = 26171136.

The previous prime is 85642493. The next prime is 85642523. The reversal of 85642518 is 81524658.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 15 ways as a sum of consecutive naturals, for example, 7938 + ... + 15306.

It is an arithmetic number, because the mean of its divisors is an integer number (5803875).

Almost surely, 285642518 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85642518, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92862000).

85642518 is an abundant number, since it is smaller than the sum of its proper divisors (100081482).

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

85642518 is a wasteful number, since it uses less digits than its factorization.

85642518 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7536.

The product of its digits is 76800, while the sum is 39.

The square root of 85642518 is about 9254.3242865160. The cubic root of 85642518 is about 440.7880471186.

The spelling of 85642518 in words is "eighty-five million, six hundred forty-two thousand, five hundred eighteen".

Divisors: 1 2 3 6 13 26 39 78 149 298 447 894 1937 3874 5811 7369 11622 14738 22107 44214 95797 191594 287391 574782 1097981 2195962 3293943 6587886 14273753 28547506 42821259 85642518