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86415329 = 71113131659
BaseRepresentation
bin1010010011010…
…01011111100001
320000121100112202
411021221133201
5134110242304
612324102545
72066342510
oct511513741
9200540482
1086415329
1144863130
1224b34a55
1314b98440
14b696677
1578be81e
hex52697e1

86415329 has 32 divisors (see below), whose sum is σ = 117089280. Its totient is φ = 61588800.

The previous prime is 86415299. The next prime is 86415341. The reversal of 86415329 is 92351468.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-86415329 is a prime.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 86415292 and 86415301.

It is not an unprimeable number, because it can be changed into a prime (86415359) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130802 + ... + 131460.

It is an arithmetic number, because the mean of its divisors is an integer number (3659040).

Almost surely, 286415329 is an apocalyptic number.

It is an amenable number.

86415329 is a deficient number, since it is larger than the sum of its proper divisors (30673951).

86415329 is a wasteful number, since it uses less digits than its factorization.

86415329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821.

The product of its digits is 51840, while the sum is 38.

The square root of 86415329 is about 9295.9845632402. The cubic root of 86415329 is about 442.1099229755.

The spelling of 86415329 in words is "eighty-six million, four hundred fifteen thousand, three hundred twenty-nine".

Divisors: 1 7 11 13 77 91 131 143 659 917 1001 1441 1703 4613 7249 8567 10087 11921 18733 50743 59969 86329 94237 131131 604303 659659 949619 1122277 6647333 7855939 12345047 86415329