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13825336 = 237271911
BaseRepresentation
bin110100101111…
…010100111000
3222000101210111
4310233110320
512014402321
61212154104
7225341050
oct64572470
928011714
1013825336
1178931a8
124768934
132b30a95
141b9c560
1513315e1
hexd2f538

13825336 has 32 divisors (see below), whose sum is σ = 29767680. Its totient is φ = 5896800.

The previous prime is 13825307. The next prime is 13825351. The reversal of 13825336 is 63352831.

It is a super-2 number, since 2×138253362 = 382279831025792, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13825298 and 13825307.

It is a congruent number.

It is an unprimeable number.

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 in 7 ways as a sum of consecutive naturals, for example, 14721 + ... + 15631.

It is an arithmetic number, because the mean of its divisors is an integer number (930240).

Almost surely, 213825336 is an apocalyptic number.

It is an amenable number.

13825336 is an abundant number, since it is smaller than the sum of its proper divisors (15942344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13825336 is a wasteful number, since it uses less digits than its factorization.

13825336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195 (or 1191 counting only the distinct ones).

The product of its digits is 12960, while the sum is 31.

The square root of 13825336 is about 3718.2436714126. The cubic root of 13825336 is about 240.0077312324.

It can be divided in two parts, 13825 and 336, that added together give a square (14161 = 1192).

The spelling of 13825336 in words is "thirteen million, eight hundred twenty-five thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 28 56 271 542 911 1084 1822 1897 2168 3644 3794 6377 7288 7588 12754 15176 25508 51016 246881 493762 987524 1728167 1975048 3456334 6912668 13825336