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257070768 = 24314513691
BaseRepresentation
bin11110101001010…
…01011010110000
3122220201112210120
433110221122300
51011302231033
641301530240
76241031313
oct1724513260
9586645716
10257070768
11122123089
1272113980
1341349ba6
14261da97a
151787e1b3
hexf5296b0

257070768 has 40 divisors (see below), whose sum is σ = 664737216. Its totient is φ = 85608000.

The previous prime is 257070767. The next prime is 257070769. The reversal of 257070768 is 867070752.

257070768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (257070767) and next prime (257070769).

It is not an unprimeable number, because it can be changed into a prime (257070763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67803 + ... + 71493.

Almost surely, 2257070768 is an apocalyptic number.

It is an amenable number.

257070768 is an abundant number, since it is smaller than the sum of its proper divisors (407666448).

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

257070768 is a wasteful number, since it uses less digits than its factorization.

257070768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5153 (or 5147 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 42.

The square root of 257070768 is about 16033.4265832354. The cubic root of 257070768 is about 635.8444697021.

The spelling of 257070768 in words is "two hundred fifty-seven million, seventy thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 1451 2902 3691 4353 5804 7382 8706 11073 11608 14764 17412 22146 23216 29528 34824 44292 59056 69648 88584 177168 5355641 10711282 16066923 21422564 32133846 42845128 64267692 85690256 128535384 257070768