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256977380 = 225112106189
BaseRepresentation
bin11110101000100…
…10100111100100
3122220112210200202
433110102213210
51011241234010
641255530032
76240162122
oct1724224744
9586483622
10256977380
11122069a00
1272089918
134131652a
14261b4912
15178616a5
hexf5129e4

256977380 has 36 divisors (see below), whose sum is σ = 593177340. Its totient is φ = 93445440.

The previous prime is 256977373. The next prime is 256977397. The reversal of 256977380 is 83779652.

256977380 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 2 ways, for example, as 82156096 + 174821284 = 9064^2 + 13222^2 .

It is a super-3 number, since 3×2569773803 (a number of 26 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50675 + ... + 55514.

Almost surely, 2256977380 is an apocalyptic number.

256977380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256977380 is an abundant number, since it is smaller than the sum of its proper divisors (336199960).

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

256977380 is a wasteful number, since it uses less digits than its factorization.

256977380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106220 (or 106207 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 47.

The square root of 256977380 is about 16030.5140279406. The cubic root of 256977380 is about 635.7674644015.

The spelling of 256977380 in words is "two hundred fifty-six million, nine hundred seventy-seven thousand, three hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 2420 106189 212378 424756 530945 1061890 1168079 2123780 2336158 4672316 5840395 11680790 12848869 23361580 25697738 51395476 64244345 128488690 256977380