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86838705 = 3251929749
BaseRepresentation
bin1010010110100…
…00110110110001
320001101212022100
411023100312301
5134212314310
612341131013
72103055032
oct513206661
9201355270
1086838705
1145022228
12250b9a69
1314cb6065
14b766a89
157954ec0
hex52d0db1

86838705 has 12 divisors (see below), whose sum is σ = 150520500. Its totient is φ = 46313952.

The previous prime is 86838701. The next prime is 86838727. The reversal of 86838705 is 50783868.

It can be written as a sum of positive squares in 2 ways, for example, as 37051569 + 49787136 = 6087^2 + 7056^2 .

It is not a de Polignac number, because 86838705 - 22 = 86838701 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 1929749 = 86838705 / (8 + 6 + 8 + 3 + 8 + 7 + 0 + 5).

It is not an unprimeable number, because it can be changed into a prime (86838701) 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 11 ways as a sum of consecutive naturals, for example, 964830 + ... + 964919.

It is an arithmetic number, because the mean of its divisors is an integer number (12543375).

Almost surely, 286838705 is an apocalyptic number.

It is an amenable number.

86838705 is a deficient number, since it is larger than the sum of its proper divisors (63681795).

86838705 is a wasteful number, since it uses less digits than its factorization.

86838705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1929760 (or 1929757 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 86838705 is about 9318.7287223097. The cubic root of 86838705 is about 442.8307591189.

The spelling of 86838705 in words is "eighty-six million, eight hundred thirty-eight thousand, seven hundred five".

Divisors: 1 3 5 9 15 45 1929749 5789247 9648745 17367741 28946235 86838705