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13824809 is a prime number
BaseRepresentation
bin110100101111…
…001100101001
3222000101001222
4310233030221
512014343214
61212151425
7225336365
oct64571451
928011058
1013824809
117892869
124768575
132b3077b
141b9c2a5
15133138e
hexd2f329

13824809 has 2 divisors, whose sum is σ = 13824810. Its totient is φ = 13824808.

The previous prime is 13824787. The next prime is 13824841. The reversal of 13824809 is 90842831.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9610000 + 4214809 = 3100^2 + 2053^2 .

It is a cyclic number.

It is not a de Polignac number, because 13824809 - 212 = 13820713 is a prime.

It is a super-2 number, since 2×138248092 = 382250687772962, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13824409) 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, 6912404 + 6912405.

It is an arithmetic number, because the mean of its divisors is an integer number (6912405).

Almost surely, 213824809 is an apocalyptic number.

It is an amenable number.

13824809 is a deficient number, since it is larger than the sum of its proper divisors (1).

13824809 is an equidigital number, since it uses as much as digits as its factorization.

13824809 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 13824809 is about 3718.1728039455. The cubic root of 13824809 is about 240.0046816216.

The spelling of 13824809 in words is "thirteen million, eight hundred twenty-four thousand, eight hundred nine".