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86418125 = 54372101
BaseRepresentation
bin1010010011010…
…10001011001101
320000121111101022
411021222023031
5134110340000
612324123525
72066353613
oct511521315
9200544338
1086418125
1144865242
1224b365a5
1314b997b1
14b6976b3
1578c0585
hex526a2cd

86418125 has 30 divisors (see below), whose sum is σ = 112084434. Its totient is φ = 66600000.

The previous prime is 86418113. The next prime is 86418127. The reversal of 86418125 is 52181468.

It can be written as a sum of positive squares in 15 ways, for example, as 37039396 + 49378729 = 6086^2 + 7027^2 .

It is not a de Polignac number, because 86418125 - 216 = 86352589 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86418127) 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 29 ways as a sum of consecutive naturals, for example, 855575 + ... + 855675.

Almost surely, 286418125 is an apocalyptic number.

It is an amenable number.

86418125 is a deficient number, since it is larger than the sum of its proper divisors (25666309).

86418125 is an equidigital number, since it uses as much as digits as its factorization.

86418125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 143 counting only the distinct ones).

The product of its digits is 15360, while the sum is 35.

The square root of 86418125 is about 9296.1349495368. The cubic root of 86418125 is about 442.1146911342.

The spelling of 86418125 in words is "eighty-six million, four hundred eighteen thousand, one hundred twenty-five".

Divisors: 1 5 25 37 101 125 185 505 625 925 1369 2525 3737 4625 6845 12625 18685 23125 34225 63125 93425 138269 171125 467125 691345 855625 2335625 3456725 17283625 86418125