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86111748 = 2234614357
BaseRepresentation
bin1010010000111…
…11011000000100
320000000221010000
411020133120010
5134021033443
612313401300
72063636442
oct510373004
9200027100
1086111748
1144676038
1224a09230
1314ac01c8
14b617b92
15785e8d3
hex521f604

86111748 has 60 divisors (see below), whose sum is σ = 228856012. Its totient is φ = 28226880.

The previous prime is 86111741. The next prime is 86111771. The reversal of 86111748 is 84711168.

It can be written as a sum of positive squares in 2 ways, for example, as 49533444 + 36578304 = 7038^2 + 6048^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (86111741) 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 19 ways as a sum of consecutive naturals, for example, 17586 + ... + 21942.

Almost surely, 286111748 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 86111748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114428006).

86111748 is an abundant number, since it is smaller than the sum of its proper divisors (142744264).

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

86111748 is a wasteful number, since it uses less digits than its factorization.

86111748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4434 (or 4423 counting only the distinct ones).

The product of its digits is 10752, while the sum is 36.

The square root of 86111748 is about 9279.6415879063. The cubic root of 86111748 is about 441.5915980797.

The spelling of 86111748 in words is "eighty-six million, one hundred eleven thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 81 108 122 162 183 244 324 366 549 732 1098 1647 2196 3294 4357 4941 6588 8714 9882 13071 17428 19764 26142 39213 52284 78426 117639 156852 235278 265777 352917 470556 531554 705834 797331 1063108 1411668 1594662 2391993 3189324 4783986 7175979 9567972 14351958 21527937 28703916 43055874 86111748