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13982625 = 34531381
BaseRepresentation
bin110101010101…
…101110100001
3222022101120000
4311111232201
512034421000
61215410213
7226564446
oct65255641
928271500
1013982625
117990398
124823969
132b87557
141bdd9cd
151363000
hexd55ba1

13982625 has 40 divisors (see below), whose sum is σ = 26086632. Its totient is φ = 7452000.

The previous prime is 13982621. The next prime is 13982627. The reversal of 13982625 is 52628931.

13982625 is a `hidden beast` number, since 1 + 398 + 262 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 762129 + 13220496 = 873^2 + 3636^2 .

It is not a de Polignac number, because 13982625 - 22 = 13982621 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13982625.

It is not an unprimeable number, because it can be changed into a prime (13982621) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 9435 + ... + 10815.

Almost surely, 213982625 is an apocalyptic number.

13982625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13982625 is a deficient number, since it is larger than the sum of its proper divisors (12104007).

13982625 is an equidigital number, since it uses as much as digits as its factorization.

13982625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1408 (or 1389 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 13982625 is about 3739.3348338976. The cubic root of 13982625 is about 240.9144798518.

The spelling of 13982625 in words is "thirteen million, nine hundred eighty-two thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 125 135 225 375 405 675 1125 1381 2025 3375 4143 6905 10125 12429 20715 34525 37287 62145 103575 111861 172625 186435 310725 517875 559305 932175 1553625 2796525 4660875 13982625