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86132646 = 2341074969
BaseRepresentation
bin1010010001001…
…00011110100110
320000001222210000
411020210132212
5134022221041
612314042130
72064054405
oct510443646
9200058700
1086132646
114468a806
1224a19346
1314ac9882
14b62163c
157865bb6
hex52247a6

86132646 has 40 divisors (see below), whose sum is σ = 194843880. Its totient is φ = 28436832.

The previous prime is 86132621. The next prime is 86132647. The reversal of 86132646 is 64623168.

86132646 is a `hidden beast` number, since 8 + 6 + 1 + 3 + 2 + 646 = 666.

It is a super-2 number, since 2×861326462 = 14837665413922632, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 86132646.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86132647) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14850 + ... + 19818.

It is an arithmetic number, because the mean of its divisors is an integer number (4871097).

Almost surely, 286132646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86132646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97421940).

86132646 is an abundant number, since it is smaller than the sum of its proper divisors (108711234).

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

86132646 is a wasteful number, since it uses less digits than its factorization.

86132646 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5090 (or 5081 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 86132646 is about 9280.7675329145. The cubic root of 86132646 is about 441.6273176922.

The spelling of 86132646 in words is "eighty-six million, one hundred thirty-two thousand, six hundred forty-six".

Divisors: 1 2 3 6 9 18 27 54 81 107 162 214 321 642 963 1926 2889 4969 5778 8667 9938 14907 17334 29814 44721 89442 134163 268326 402489 531683 804978 1063366 1595049 3190098 4785147 9570294 14355441 28710882 43066323 86132646