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252460385 = 51493171069
BaseRepresentation
bin11110000110000…
…11110101100001
3122121001022112122
433003003311201
51004112213020
641015034025
76153610052
oct1703036541
9577038478
10252460385
1111a564251
127066b915
13403c4558
142575a729
151726d125
hexf0c3d61

252460385 has 16 divisors (see below), whose sum is σ = 306234000. Its totient is φ = 199792896.

The previous prime is 252460381. The next prime is 252460409. The reversal of 252460385 is 583064252.

252460385 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 8 ways, for example, as 75463969 + 176996416 = 8687^2 + 13304^2 .

It is a cyclic number.

It is not a de Polignac number, because 252460385 - 22 = 252460381 is a prime.

It is not an unprimeable number, because it can be changed into a prime (252460381) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 235631 + ... + 236699.

It is an arithmetic number, because the mean of its divisors is an integer number (19139625).

Almost surely, 2252460385 is an apocalyptic number.

It is an amenable number.

252460385 is a deficient number, since it is larger than the sum of its proper divisors (53773615).

252460385 is a wasteful number, since it uses less digits than its factorization.

252460385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1540.

The product of its (nonzero) digits is 57600, while the sum is 35.

The square root of 252460385 is about 15889.0020139718. The cubic root of 252460385 is about 632.0203761857.

The spelling of 252460385 in words is "two hundred fifty-two million, four hundred sixty thousand, three hundred eighty-five".

Divisors: 1 5 149 317 745 1069 1585 5345 47233 159281 236165 338873 796405 1694365 50492077 252460385