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87085086 = 231129173263
BaseRepresentation
bin1010011000011…
…01000000011110
320001212101021120
411030031000132
5134243210321
612350311410
72105132244
oct514150036
9201771246
1087085086
1145180350
12251b8566
131507124a
14b7cc794
1579a2ec6
hex530d01e

87085086 has 64 divisors (see below), whose sum is σ = 198443520. Its totient is φ = 25235840.

The previous prime is 87085081. The next prime is 87085099. The reversal of 87085086 is 68058078.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87085081) 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, 330991 + ... + 331253.

It is an arithmetic number, because the mean of its divisors is an integer number (3100680).

Almost surely, 287085086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87085086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99221760).

87085086 is an abundant number, since it is smaller than the sum of its proper divisors (111358434).

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

87085086 is a wasteful number, since it uses less digits than its factorization.

87085086 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481.

The product of its (nonzero) digits is 107520, while the sum is 42.

The square root of 87085086 is about 9331.9390268047. The cubic root of 87085086 is about 443.2491672560.

The spelling of 87085086 in words is "eighty-seven million, eighty-five thousand, eighty-six".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 173 174 263 319 346 519 526 638 789 957 1038 1578 1903 1914 2893 3806 5017 5709 5786 7627 8679 10034 11418 15051 15254 17358 22881 30102 45499 45762 55187 83897 90998 110374 136497 165561 167794 251691 272994 331122 500489 503382 1000978 1319471 1501467 2638942 3002934 3958413 7916826 14514181 29028362 43542543 87085086