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252752121 = 3249335693
BaseRepresentation
bin11110001000010…
…11000011111001
3122121121010201200
433010023003321
51004201031441
641025204413
76156233436
oct1704130371
9577533650
10252752121
1111a743456
1270790709
134049728b
14257d4b8d
15172c97b6
hexf10b0f9

252752121 has 12 divisors (see below), whose sum is σ = 365224548. Its totient is φ = 168437664.

The previous prime is 252752099. The next prime is 252752147. The reversal of 252752121 is 121257252.

252752121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 52925625 + 199826496 = 7275^2 + 14136^2 .

It is not a de Polignac number, because 252752121 - 26 = 252752057 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (252752161) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41551 + ... + 47243.

It is an arithmetic number, because the mean of its divisors is an integer number (30435379).

Almost surely, 2252752121 is an apocalyptic number.

It is an amenable number.

252752121 is a deficient number, since it is larger than the sum of its proper divisors (112472427).

252752121 is a wasteful number, since it uses less digits than its factorization.

252752121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10632 (or 10629 counting only the distinct ones).

The product of its digits is 2800, while the sum is 27.

The square root of 252752121 is about 15898.1798014741. The cubic root of 252752121 is about 632.2637306951.

The spelling of 252752121 in words is "two hundred fifty-two million, seven hundred fifty-two thousand, one hundred twenty-one".

Divisors: 1 3 9 4933 5693 14799 17079 44397 51237 28083569 84250707 252752121