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13826904 = 2337132487
BaseRepresentation
bin110100101111…
…101101011000
3222000110221120
4310233231120
512014430104
61212205240
7225345450
oct64575530
928013846
1013826904
1178943a3
124769820
132b31700
141b9cd60
151331cd9
hexd2fb58

13826904 has 96 divisors (see below), whose sum is σ = 42865920. Its totient is φ = 3639168.

The previous prime is 13826849. The next prime is 13826921. The reversal of 13826904 is 40962831.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28149 + ... + 28635.

It is an arithmetic number, because the mean of its divisors is an integer number (446520).

Almost surely, 213826904 is an apocalyptic number.

13826904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13826904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21432960).

13826904 is an abundant number, since it is smaller than the sum of its proper divisors (29039016).

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

13826904 is a wasteful number, since it uses less digits than its factorization.

13826904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 13826904 is about 3718.4545176726. The cubic root of 13826904 is about 240.0168043789.

The spelling of 13826904 in words is "thirteen million, eight hundred twenty-six thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 169 182 273 312 338 364 487 507 546 676 728 974 1014 1092 1183 1352 1461 1948 2028 2184 2366 2922 3409 3549 3896 4056 4732 5844 6331 6818 7098 9464 10227 11688 12662 13636 14196 18993 20454 25324 27272 28392 37986 40908 44317 50648 75972 81816 82303 88634 132951 151944 164606 177268 246909 265902 329212 354536 493818 531804 576121 658424 987636 1063608 1152242 1728363 1975272 2304484 3456726 4608968 6913452 13826904