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252642609 = 3289315409
BaseRepresentation
bin11110000111100…
…00010100110001
3122121101120111200
433003300110301
51004134030414
641023001413
76155266242
oct1703602461
9577346450
10252642609
1111a67914a
1270739269
134045948b
14257a6cc9
15172a7109
hexf0f0531

252642609 has 12 divisors (see below), whose sum is σ = 369029700. Its totient is φ = 166535424.

The previous prime is 252642589. The next prime is 252642613. The reversal of 252642609 is 906246252.

252642609 is a `hidden beast` number, since 2 + 5 + 2 + 6 + 42 + 609 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 31674384 + 220968225 = 5628^2 + 14865^2 .

It is not a de Polignac number, because 252642609 - 211 = 252640561 is a prime.

It is not an unprimeable number, because it can be changed into a prime (252642619) 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 11 ways as a sum of consecutive naturals, for example, 156904 + ... + 158505.

It is an arithmetic number, because the mean of its divisors is an integer number (30752475).

Almost surely, 2252642609 is an apocalyptic number.

It is an amenable number.

252642609 is a deficient number, since it is larger than the sum of its proper divisors (116387091).

252642609 is a wasteful number, since it uses less digits than its factorization.

252642609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315504 (or 315501 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 252642609 is about 15894.7352604565. The cubic root of 252642609 is about 632.1724021266.

The spelling of 252642609 in words is "two hundred fifty-two million, six hundred forty-two thousand, six hundred nine".

Divisors: 1 3 9 89 267 801 315409 946227 2838681 28071401 84214203 252642609