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13526825 = 521341621
BaseRepresentation
bin110011100110…
…011100101001
3221110020022112
4303212130221
511430324300
61201532105
7222655544
oct63463451
927406275
1013526825
1176a99a4
124644035
132a57c50
141b2185b
1512c2e35
hexce6729

13526825 has 12 divisors (see below), whose sum is σ = 18063948. Its totient is φ = 9988800.

The previous prime is 13526813. The next prime is 13526839. The reversal of 13526825 is 52862531.

It can be written as a sum of positive squares in 6 ways, for example, as 1857769 + 11669056 = 1363^2 + 3416^2 .

It is not a de Polignac number, because 13526825 - 24 = 13526809 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13526791 and 13526800.

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 11 ways as a sum of consecutive naturals, for example, 20486 + ... + 21135.

It is an arithmetic number, because the mean of its divisors is an integer number (1505329).

Almost surely, 213526825 is an apocalyptic number.

It is an amenable number.

13526825 is a deficient number, since it is larger than the sum of its proper divisors (4537123).

13526825 is a wasteful number, since it uses less digits than its factorization.

13526825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41644 (or 41639 counting only the distinct ones).

The product of its digits is 14400, while the sum is 32.

The square root of 13526825 is about 3677.8832227247. The cubic root of 13526825 is about 238.2677646852.

The spelling of 13526825 in words is "thirteen million, five hundred twenty-six thousand, eight hundred twenty-five".

Divisors: 1 5 13 25 65 325 41621 208105 541073 1040525 2705365 13526825