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13824529 is a prime number
BaseRepresentation
bin110100101111…
…001000010001
3222000100200121
4310233020101
512014341104
61212150241
7225335515
oct64571021
928010617
1013824529
117892634
124768381
132b305c4
141b9c145
151331254
hexd2f211

13824529 has 2 divisors, whose sum is σ = 13824530. Its totient is φ = 13824528.

The previous prime is 13824511. The next prime is 13824583. The reversal of 13824529 is 92542831.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11068929 + 2755600 = 3327^2 + 1660^2 .

It is a cyclic number.

It is not a de Polignac number, because 13824529 - 27 = 13824401 is a prime.

It is a super-2 number, since 2×138245292 = 382235204143682, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13824494 and 13824503.

It is not a weakly prime, because it can be changed into another prime (13804529) 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, 6912264 + 6912265.

It is an arithmetic number, because the mean of its divisors is an integer number (6912265).

Almost surely, 213824529 is an apocalyptic number.

It is an amenable number.

13824529 is a deficient number, since it is larger than the sum of its proper divisors (1).

13824529 is an equidigital number, since it uses as much as digits as its factorization.

13824529 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 17280, while the sum is 34.

The square root of 13824529 is about 3718.1351508518. The cubic root of 13824529 is about 240.0030613035.

The spelling of 13824529 in words is "thirteen million, eight hundred twenty-four thousand, five hundred twenty-nine".