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252752085 = 32541136993
BaseRepresentation
bin11110001000010…
…11000011010101
3122121121010200100
433010023003111
51004201031320
641025204313
76156233355
oct1704130325
9577533610
10252752085
1111a743423
1270790699
1340497261
14257d4b65
15172c9790
hexf10b0d5

252752085 has 24 divisors (see below), whose sum is σ = 448792344. Its totient is φ = 131512320.

The previous prime is 252752077. The next prime is 252752099. The reversal of 252752085 is 580257252.

252752085 is a `hidden beast` number, since 2 + 52 + 7 + 520 + 85 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22410756 + 230341329 = 4734^2 + 15177^2 .

It is not a de Polignac number, because 252752085 - 23 = 252752077 is a prime.

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 23 ways as a sum of consecutive naturals, for example, 66652 + ... + 70341.

It is an arithmetic number, because the mean of its divisors is an integer number (18699681).

Almost surely, 2252752085 is an apocalyptic number.

It is an amenable number.

252752085 is a deficient number, since it is larger than the sum of its proper divisors (196040259).

252752085 is a wasteful number, since it uses less digits than its factorization.

252752085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137045 (or 137042 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 252752085 is about 15898.1786692690. The cubic root of 252752085 is about 632.2637006769.

The spelling of 252752085 in words is "two hundred fifty-two million, seven hundred fifty-two thousand, eighty-five".

Divisors: 1 3 5 9 15 41 45 123 205 369 615 1845 136993 410979 684965 1232937 2054895 5616713 6164685 16850139 28083565 50550417 84250695 252752085