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13825823 = 112163701
BaseRepresentation
bin110100101111…
…011100011111
3222000102110112
4310233130133
512014411243
61212200235
7225342344
oct64573437
928012415
1013825823
117893600
12476907b
132b3107b
141b9c7cb
151331818
hexd2f71f

13825823 has 12 divisors (see below), whose sum is σ = 15312024. Its totient is φ = 12474000.

The previous prime is 13825817. The next prime is 13825831. The reversal of 13825823 is 32852831.

13825823 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13825823 - 24 = 13825807 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13825823.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13825813) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19373 + ... + 20073.

It is an arithmetic number, because the mean of its divisors is an integer number (1276002).

Almost surely, 213825823 is an apocalyptic number.

13825823 is a deficient number, since it is larger than the sum of its proper divisors (1486201).

13825823 is a wasteful number, since it uses less digits than its factorization.

13825823 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886 (or 875 counting only the distinct ones).

The product of its digits is 11520, while the sum is 32.

The square root of 13825823 is about 3718.3091587441. The cubic root of 13825823 is about 240.0105493048.

The spelling of 13825823 in words is "thirteen million, eight hundred twenty-five thousand, eight hundred twenty-three".

Divisors: 1 11 121 163 701 1793 7711 19723 84821 114263 1256893 13825823