Search a number
-
+
86851336 = 23111331279
BaseRepresentation
bin1010010110100…
…11111100001000
320001102111122011
411023103330020
5134213220321
612341305304
72103136615
oct513237410
9201374564
1086851336
1145030770
1225105234
1314cbba30
14b76b50c
157958ae1
hex52d3f08

86851336 has 96 divisors (see below), whose sum is σ = 200188800. Its totient is φ = 34819200.

The previous prime is 86851333. The next prime is 86851379. The reversal of 86851336 is 63315868.

It is not an unprimeable number, because it can be changed into a prime (86851333) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1099345 + ... + 1099423.

It is an arithmetic number, because the mean of its divisors is an integer number (2085300).

Almost surely, 286851336 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 86851336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100094400).

86851336 is an abundant number, since it is smaller than the sum of its proper divisors (113337464).

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

86851336 is a wasteful number, since it uses less digits than its factorization.

86851336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 136 counting only the distinct ones).

The product of its digits is 103680, while the sum is 40.

The square root of 86851336 is about 9319.4064188660. The cubic root of 86851336 is about 442.8522285169.

The spelling of 86851336 in words is "eighty-six million, eight hundred fifty-one thousand, three hundred thirty-six".

Divisors: 1 2 4 8 11 13 22 26 31 44 52 62 79 88 104 124 143 158 248 286 316 341 403 572 632 682 806 869 961 1027 1144 1364 1612 1738 1922 2054 2449 2728 3224 3476 3844 4108 4433 4898 6952 7688 8216 8866 9796 10571 11297 12493 17732 19592 21142 22594 24986 26939 31837 35464 42284 45188 49972 53878 63674 75919 84568 90376 99944 107756 127348 137423 151838 215512 254696 274846 303676 350207 549692 607352 700414 835109 986947 1099384 1400828 1670218 1973894 2801656 3340436 3947788 6680872 7895576 10856417 21712834 43425668 86851336