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86385269 = 37289709
BaseRepresentation
bin1010010011000…
…10001001110101
320000112211022102
411021202021311
5134103312034
612323311445
72066156045
oct511421165
9200484272
1086385269
1144842593
1224b1b585
1314b87859
14b689725
1578b597e
hex5262275

86385269 has 12 divisors (see below), whose sum is σ = 89907300. Its totient is φ = 82988928.

The previous prime is 86385253. The next prime is 86385281. The reversal of 86385269 is 96258368.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 600625 + 85784644 = 775^2 + 9262^2 .

It is not a de Polignac number, because 86385269 - 24 = 86385253 is a prime.

It is a super-2 number, since 2×863852692 = 14924829400404722, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86385239) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 121487 + ... + 122195.

It is an arithmetic number, because the mean of its divisors is an integer number (7492275).

Almost surely, 286385269 is an apocalyptic number.

86385269 is a gapful number since it is divisible by the number (89) formed by its first and last digit.

It is an amenable number.

86385269 is a deficient number, since it is larger than the sum of its proper divisors (3522031).

86385269 is an equidigital number, since it uses as much as digits as its factorization.

86385269 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 835 counting only the distinct ones).

The product of its digits is 622080, while the sum is 47.

The square root of 86385269 is about 9294.3675954849. The cubic root of 86385269 is about 442.0586536551.

The spelling of 86385269 in words is "eighty-six million, three hundred eighty-five thousand, two hundred sixty-nine".

Divisors: 1 37 89 709 1369 3293 26233 63101 121841 970621 2334737 86385269