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86168385 = 3251914853
BaseRepresentation
bin1010010001011…
…01001101000001
320000010210210200
411020231031001
5134024342020
612314515413
72064263532
oct510551501
9200123720
1086168385
1144704646
1224a35b69
1314b0cc14
14b630689
157871590
hex522d341

86168385 has 12 divisors (see below), whose sum is σ = 149358612. Its totient is φ = 45956448.

The previous prime is 86168377. The next prime is 86168387. The reversal of 86168385 is 58386168.

It can be written as a sum of positive squares in 2 ways, for example, as 48566961 + 37601424 = 6969^2 + 6132^2 .

It is not a de Polignac number, because 86168385 - 23 = 86168377 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: 1914853 = 86168385 / (8 + 6 + 1 + 6 + 8 + 3 + 8 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 86168385.

It is not an unprimeable number, because it can be changed into a prime (86168387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 957382 + ... + 957471.

It is an arithmetic number, because the mean of its divisors is an integer number (12446551).

Almost surely, 286168385 is an apocalyptic number.

It is an amenable number.

86168385 is a deficient number, since it is larger than the sum of its proper divisors (63190227).

86168385 is a wasteful number, since it uses less digits than its factorization.

86168385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1914864 (or 1914861 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 86168385 is about 9282.6927666491. The cubic root of 86168385 is about 441.6883906881.

The spelling of 86168385 in words is "eighty-six million, one hundred sixty-eight thousand, three hundred eighty-five".

Divisors: 1 3 5 9 15 45 1914853 5744559 9574265 17233677 28722795 86168385