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257512740 = 22357160449
BaseRepresentation
bin11110101100101…
…01010100100100
3122221120000001220
433112111110210
51011410401430
641315220340
76244552002
oct1726252444
9587500056
10257512740
111223a5151
12722a76b0
1341473104
14262b3a72
151791a110
hexf595524

257512740 has 48 divisors (see below), whose sum is σ = 731203200. Its totient is φ = 67701760.

The previous prime is 257512709. The next prime is 257512789. The reversal of 257512740 is 47215752.

257512740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2575127402 = 132625622524615200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25965 + ... + 34484.

It is an arithmetic number, because the mean of its divisors is an integer number (15233400).

Almost surely, 2257512740 is an apocalyptic number.

257512740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257512740 is an abundant number, since it is smaller than the sum of its proper divisors (473690460).

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

257512740 is a wasteful number, since it uses less digits than its factorization.

257512740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60532 (or 60530 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 33.

The square root of 257512740 is about 16047.2034946903. The cubic root of 257512740 is about 636.2086554808.

The spelling of 257512740 in words is "two hundred fifty-seven million, five hundred twelve thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 142 213 284 355 426 710 852 1065 1420 2130 4260 60449 120898 181347 241796 302245 362694 604490 725388 906735 1208980 1813470 3626940 4291879 8583758 12875637 17167516 21459395 25751274 42918790 51502548 64378185 85837580 128756370 257512740