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13808593 is a prime number
BaseRepresentation
bin110100101011…
…001111010001
3221222112211101
4310223033101
512013333333
61211544401
7225241201
oct64531721
927875741
1013808593
117881667
12475b101
132b26286
141b96401
15132b67d
hexd2b3d1

13808593 has 2 divisors, whose sum is σ = 13808594. Its totient is φ = 13808592.

The previous prime is 13808551. The next prime is 13808603. The reversal of 13808593 is 39580831.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13082689 + 725904 = 3617^2 + 852^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13808593 is a prime.

It is not a weakly prime, because it can be changed into another prime (13808503) 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 as a sum of consecutive naturals, namely, 6904296 + 6904297.

It is an arithmetic number, because the mean of its divisors is an integer number (6904297).

Almost surely, 213808593 is an apocalyptic number.

It is an amenable number.

13808593 is a deficient number, since it is larger than the sum of its proper divisors (1).

13808593 is an equidigital number, since it uses as much as digits as its factorization.

13808593 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 13808593 is about 3715.9915231335. The cubic root of 13808593 is about 239.9108059763.

The spelling of 13808593 in words is "thirteen million, eight hundred eight thousand, five hundred ninety-three".