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26368225 = 52132792
BaseRepresentation
bin110010010010…
…1100011100001
31211121122101221
41210211203201
523222240400
62341055041
7440061202
oct144454341
954548357
1026368225
111397a924
1289b7481
135602c00
1437055a9
1524acc1a
hex19258e1

26368225 has 27 divisors (see below), whose sum is σ = 35859033. Its totient is φ = 19225440.

The previous prime is 26368213. The next prime is 26368229. The reversal of 26368225 is 52286362.

The square root of 26368225 is 5135.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 6796449 + 19571776 = 2607^2 + 4424^2 .

It is not a de Polignac number, because 26368225 - 29 = 26367713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (26368229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 333736 + ... + 333814.

Almost surely, 226368225 is an apocalyptic number.

26368225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

26368225 is the 5135-th square number.

26368225 is the 2568-th centered octagonal number.

It is an amenable number.

26368225 is a deficient number, since it is larger than the sum of its proper divisors (9490808).

26368225 is an equidigital number, since it uses as much as digits as its factorization.

26368225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 97 counting only the distinct ones).

The product of its digits is 34560, while the sum is 34.

The cubic root of 26368225 is about 297.6416010236.

The spelling of 26368225 in words is "twenty-six million, three hundred sixty-eight thousand, two hundred twenty-five".

Divisors: 1 5 13 25 65 79 169 325 395 845 1027 1975 4225 5135 6241 13351 25675 31205 66755 81133 156025 333775 405665 1054729 2028325 5273645 26368225