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13288493 is a prime number
BaseRepresentation
bin110010101100…
…010000101101
3221000010101102
4302230100231
511400212433
61152452445
7220643651
oct62542055
927003342
1013288493
117556929
12454a125
1329a361a
141a9ca61
1512774e8
hexcac42d

13288493 has 2 divisors, whose sum is σ = 13288494. Its totient is φ = 13288492.

The previous prime is 13288487. The next prime is 13288507. The reversal of 13288493 is 39488231.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12482089 + 806404 = 3533^2 + 898^2 .

It is an emirp because it is prime and its reverse (39488231) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13288493 is a prime.

It is a super-2 number, since 2×132884932 = 353168092422098, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13288403) 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, 6644246 + 6644247.

It is an arithmetic number, because the mean of its divisors is an integer number (6644247).

Almost surely, 213288493 is an apocalyptic number.

It is an amenable number.

13288493 is a deficient number, since it is larger than the sum of its proper divisors (1).

13288493 is an equidigital number, since it uses as much as digits as its factorization.

13288493 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 41472, while the sum is 38.

The square root of 13288493 is about 3645.3385302328. The cubic root of 13288493 is about 236.8601012854.

The spelling of 13288493 in words is "thirteen million, two hundred eighty-eight thousand, four hundred ninety-three".