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257297840 = 24523913457
BaseRepresentation
bin11110101011000…
…00110110110000
3122221011002021122
433111200312300
51011332012330
641310441412
76242665322
oct1725406660
9587132248
10257297840
11122268748
1272203268
13413c9357
1426259612
15178c65e5
hexf560db0

257297840 has 40 divisors (see below), whose sum is σ = 600765120. Its totient is φ = 102480896.

The previous prime is 257297827. The next prime is 257297869. The reversal of 257297840 is 48792752.

257297840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 257297791 and 257297800.

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, 12392 + ... + 25848.

It is an arithmetic number, because the mean of its divisors is an integer number (15019128).

Almost surely, 2257297840 is an apocalyptic number.

257297840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257297840 is an abundant number, since it is smaller than the sum of its proper divisors (343467280).

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

257297840 is a wasteful number, since it uses less digits than its factorization.

257297840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13709 (or 13703 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 44.

The square root of 257297840 is about 16040.5062264256. The cubic root of 257297840 is about 636.0316295597.

The spelling of 257297840 in words is "two hundred fifty-seven million, two hundred ninety-seven thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 239 478 956 1195 1912 2390 3824 4780 9560 13457 19120 26914 53828 67285 107656 134570 215312 269140 538280 1076560 3216223 6432446 12864892 16081115 25729784 32162230 51459568 64324460 128648920 257297840