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260338225 = 52724612
BaseRepresentation
bin11111000010001…
…11001000110001
3200010212112220111
433201013020301
51013121310400
641455541321
76310560400
oct1741071061
9603775814
10260338225
11123a54a64
127322a841
1341c221b4
142680b637
1517cc73ba
hexf847231

260338225 has 27 divisors (see below), whose sum is σ = 376340961. Its totient is φ = 178130400.

The previous prime is 260338207. The next prime is 260338231. The reversal of 260338225 is 522833062.

The square root of 260338225 is 16135.

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 26615281 + 233722944 = 5159^2 + 15288^2 .

It is not a de Polignac number, because 260338225 - 25 = 260338193 is a prime.

It is a Duffinian 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 26 ways as a sum of consecutive naturals, for example, 564495 + ... + 564955.

Almost surely, 2260338225 is an apocalyptic number.

260338225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

260338225 is the 16135-th square number.

260338225 is the 8068-th centered octagonal number.

It is an amenable number.

260338225 is a deficient number, since it is larger than the sum of its proper divisors (116002736).

260338225 is an frugal number, since it uses more digits than its factorization.

260338225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The cubic root of 260338225 is about 638.5270692608.

The spelling of 260338225 in words is "two hundred sixty million, three hundred thirty-eight thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 49 175 245 461 1225 2305 3227 11525 16135 22589 80675 112945 212521 564725 1062605 1487647 5313025 7438235 10413529 37191175 52067645 260338225