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86119688 = 231721932
BaseRepresentation
bin1010010001000…
…01010100001000
320000001100000002
411020201110020
5134021312223
612313502132
72064001544
oct510412410
9200040002
1086119688
1144680aa6
1224a11948
1314ac39c5
14b61aa24
157861e28
hex5221508

86119688 has 36 divisors (see below), whose sum is σ = 172425015. Its totient is φ = 40316928.

The previous prime is 86119667. The next prime is 86119703. The reversal of 86119688 is 88691168.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

86119688 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in 5 ways, for example, as 45185284 + 40934404 = 6722^2 + 6398^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=6562.

It is a super-2 number, since 2×861196882 = 14833201322434688, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 446120 + ... + 446312.

Almost surely, 286119688 is an apocalyptic number.

It is an amenable number.

86119688 is an abundant number, since it is smaller than the sum of its proper divisors (86305327).

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

86119688 is a wasteful number, since it uses less digits than its factorization.

86119688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 212 counting only the distinct ones).

The product of its digits is 165888, while the sum is 47.

The square root of 86119688 is about 9280.0693962922. The cubic root of 86119688 is about 441.6051700937.

Multiplying 86119688 by its product of digits (165888), we get a square (14286222802944 = 37797122).

The spelling of 86119688 in words is "eighty-six million, one hundred nineteen thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 17 34 68 136 193 289 386 578 772 1156 1544 2312 3281 6562 13124 26248 37249 55777 74498 111554 148996 223108 297992 446216 633233 1266466 2532932 5065864 10764961 21529922 43059844 86119688