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86128841 is a prime number
BaseRepresentation
bin1010010001000…
…11100011001001
320000001210120002
411020203203021
5134022110331
612314012345
72064040331
oct510434311
9200053502
1086128841
1144687967
1224a170b5
1314ac7c16
14b6200c1
1578649cb
hex52238c9

86128841 has 2 divisors, whose sum is σ = 86128842. Its totient is φ = 86128840.

The previous prime is 86128829. The next prime is 86128853. The reversal of 86128841 is 14882168.

It is a balanced prime because it is at equal distance from previous prime (86128829) and next prime (86128853).

It can be written as a sum of positive squares in only one way, i.e., 60777616 + 25351225 = 7796^2 + 5035^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-86128841 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 86128795 and 86128804.

It is not a weakly prime, because it can be changed into another prime (86128891) 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 as a sum of consecutive naturals, namely, 43064420 + 43064421.

It is an arithmetic number, because the mean of its divisors is an integer number (43064421).

Almost surely, 286128841 is an apocalyptic number.

It is an amenable number.

86128841 is a deficient number, since it is larger than the sum of its proper divisors (1).

86128841 is an equidigital number, since it uses as much as digits as its factorization.

86128841 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 24576, while the sum is 38.

The square root of 86128841 is about 9280.5625368293. The cubic root of 86128841 is about 441.6208144797.

The spelling of 86128841 in words is "eighty-six million, one hundred twenty-eight thousand, eight hundred forty-one".