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13829325 = 352238017
BaseRepresentation
bin110100110000…
…010011001101
3222000121021020
4310300103031
512020014300
61212224353
7225355506
oct64602315
928017236
1013829325
1178961a4
12476b0b9
132b32843
141b9dbad
1513328a0
hexd304cd

13829325 has 24 divisors (see below), whose sum is σ = 23861568. Its totient is φ = 7054080.

The previous prime is 13829323. The next prime is 13829351. The reversal of 13829325 is 52392831.

It is not a de Polignac number, because 13829325 - 21 = 13829323 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13829323) 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 in 23 ways as a sum of consecutive naturals, for example, 2284 + ... + 5733.

It is an arithmetic number, because the mean of its divisors is an integer number (994232).

Almost surely, 213829325 is an apocalyptic number.

13829325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13829325 is a deficient number, since it is larger than the sum of its proper divisors (10032243).

13829325 is a wasteful number, since it uses less digits than its factorization.

13829325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8053 (or 8048 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 13829325 is about 3718.7800418955. The cubic root of 13829325 is about 240.0308120163.

The spelling of 13829325 in words is "thirteen million, eight hundred twenty-nine thousand, three hundred twenty-five".

Divisors: 1 3 5 15 23 25 69 75 115 345 575 1725 8017 24051 40085 120255 184391 200425 553173 601275 921955 2765865 4609775 13829325