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13829467 is a prime number
BaseRepresentation
bin110100110000…
…010101011011
3222000121110111
4310300111123
512020020332
61212225151
7225356101
oct64602533
928017414
1013829467
117896313
12476b1b7
132b32922
141b9dc71
151332947
hexd3055b

13829467 has 2 divisors, whose sum is σ = 13829468. Its totient is φ = 13829466.

The previous prime is 13829461. The next prime is 13829471. The reversal of 13829467 is 76492831.

13829467 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13829467 is a prime.

It is equal to p899725 and since 13829467 and 899725 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (13829461) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6914733 + 6914734.

It is an arithmetic number, because the mean of its divisors is an integer number (6914734).

Almost surely, 213829467 is an apocalyptic number.

13829467 is a deficient number, since it is larger than the sum of its proper divisors (1).

13829467 is an equidigital number, since it uses as much as digits as its factorization.

13829467 is an evil number, because the sum of its binary digits is even.

The product of its digits is 72576, while the sum is 40.

The square root of 13829467 is about 3718.7991341292. The cubic root of 13829467 is about 240.0316335618.

The spelling of 13829467 in words is "thirteen million, eight hundred twenty-nine thousand, four hundred sixty-seven".