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257252952 = 23311974443
BaseRepresentation
bin11110101010101…
…01111001011000
3122221001210201010
433111111321120
51011324043302
641305453520
76242420415
oct1725257130
9587053633
10257252952
11122237a50
12721a12a0
13413b1aa8
142624710c
15178b816c
hexf555e58

257252952 has 32 divisors (see below), whose sum is σ = 701599680. Its totient is φ = 77955360.

The previous prime is 257252929. The next prime is 257252969. The reversal of 257252952 is 259252752.

257252952 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 257252952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 486958 + ... + 487485.

It is an arithmetic number, because the mean of its divisors is an integer number (21924990).

Almost surely, 2257252952 is an apocalyptic number.

257252952 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

257252952 is an abundant number, since it is smaller than the sum of its proper divisors (444346728).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

257252952 is a wasteful number, since it uses less digits than its factorization.

257252952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974463 (or 974459 counting only the distinct ones).

The product of its digits is 126000, while the sum is 39.

The square root of 257252952 is about 16039.1069576831. The cubic root of 257252952 is about 635.9946401985.

The spelling of 257252952 in words is "two hundred fifty-seven million, two hundred fifty-two thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 974443 1948886 2923329 3897772 5846658 7795544 10718873 11693316 21437746 23386632 32156619 42875492 64313238 85750984 128626476 257252952