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86829617 = 721772033
BaseRepresentation
bin1010010110011…
…10101000110001
320001101101211202
411023032220301
5134212021432
612341020545
72103016400
oct513165061
9201341752
1086829617
1145016416
12250b4755
1314cb1b94
14b763637
157952462
hex52cea31

86829617 has 6 divisors (see below), whose sum is σ = 101005938. Its totient is φ = 74425344.

The previous prime is 86829593. The next prime is 86829619. The reversal of 86829617 is 71692868.

It can be written as a sum of positive squares in only one way, i.e., 58003456 + 28826161 = 7616^2 + 5369^2 .

It is not a de Polignac number, because 86829617 - 26 = 86829553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (86829619) 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 5 ways as a sum of consecutive naturals, for example, 885968 + ... + 886065.

It is an arithmetic number, because the mean of its divisors is an integer number (16834323).

Almost surely, 286829617 is an apocalyptic number.

It is an amenable number.

86829617 is a deficient number, since it is larger than the sum of its proper divisors (14176321).

86829617 is a wasteful number, since it uses less digits than its factorization.

86829617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1772047 (or 1772040 counting only the distinct ones).

The product of its digits is 290304, while the sum is 47.

The square root of 86829617 is about 9318.2410893902. The cubic root of 86829617 is about 442.8153106069.

The spelling of 86829617 in words is "eighty-six million, eight hundred twenty-nine thousand, six hundred seventeen".

Divisors: 1 7 49 1772033 12404231 86829617