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86135238 = 235723617
BaseRepresentation
bin1010010001001…
…01000111000110
320000002010100000
411020211013012
5134022311423
612314102130
72064065100
oct510450706
9200063300
1086135238
1144691752
1224a1a946
1314acaac7
14b622570
157866843
hex52251c6

86135238 has 72 divisors (see below), whose sum is σ = 225198792. Its totient is φ = 24603264.

The previous prime is 86135213. The next prime is 86135263. The reversal of 86135238 is 83253168.

86135238 is a `hidden beast` number, since 8 + 613 + 5 + 2 + 38 = 666.

It is an interprime number because it is at equal distance from previous prime (86135213) and next prime (86135263).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 22006 + ... + 25622.

It is an arithmetic number, because the mean of its divisors is an integer number (3127761).

Almost surely, 286135238 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86135238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112599396).

86135238 is an abundant number, since it is smaller than the sum of its proper divisors (139063554).

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

86135238 is a wasteful number, since it uses less digits than its factorization.

86135238 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3648 (or 3629 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 86135238 is about 9280.9071754867. The cubic root of 86135238 is about 441.6317476289.

The spelling of 86135238 in words is "eighty-six million, one hundred thirty-five thousand, two hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 243 294 378 441 486 567 882 1134 1323 1701 2646 3402 3617 3969 7234 7938 10851 11907 21702 23814 25319 32553 50638 65106 75957 97659 151914 177233 195318 227871 292977 354466 455742 531699 585954 683613 878931 1063398 1367226 1595097 1757862 2050839 3190194 4101678 4785291 6152517 9570582 12305034 14355873 28711746 43067619 86135238