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86518116 = 22322403281
BaseRepresentation
bin1010010100000…
…10100101100100
320000210120112200
411022002211210
5134122034431
612330214500
72100251256
oct512024544
9200716480
1086518116
1144923383
1224b84430
1314c03169
14b6c1cd6
1578deee6
hex5282964

86518116 has 18 divisors (see below), whose sum is σ = 218698662. Its totient is φ = 28839360.

The previous prime is 86518097. The next prime is 86518129. The reversal of 86518116 is 61181568.

It can be written as a sum of positive squares in only one way, i.e., 68062500 + 18455616 = 8250^2 + 4296^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2403281 = 86518116 / (8 + 6 + 5 + 1 + 8 + 1 + 1 + 6).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1201605 + ... + 1201676.

Almost surely, 286518116 is an apocalyptic number.

It is an amenable number.

86518116 is an abundant number, since it is smaller than the sum of its proper divisors (132180546).

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

86518116 is a wasteful number, since it uses less digits than its factorization.

86518116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2403291 (or 2403286 counting only the distinct ones).

The product of its digits is 11520, while the sum is 36.

The square root of 86518116 is about 9301.5114900751. The cubic root of 86518116 is about 442.2851432270.

It can be divided in two parts, 865 and 18116, that added together give a palindrome (18981).

The spelling of 86518116 in words is "eighty-six million, five hundred eighteen thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 2403281 4806562 7209843 9613124 14419686 21629529 28839372 43259058 86518116