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256768300 = 22522567683
BaseRepresentation
bin11110100110111…
…11100100101100
3122220011011220001
433103133210230
51011213041200
641251234044
76235331425
oct1723374454
9586134801
10256768300
11121a36908
1271ba8924
1341272309
142615c64c
151781e76a
hexf4df92c

256768300 has 18 divisors (see below), whose sum is σ = 557187428. Its totient is φ = 102707280.

The previous prime is 256768243. The next prime is 256768313. The reversal of 256768300 is 3867652.

256768300 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 256768300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1283742 + ... + 1283941.

Almost surely, 2256768300 is an apocalyptic number.

256768300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256768300 is an abundant number, since it is smaller than the sum of its proper divisors (300419128).

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

256768300 is a wasteful number, since it uses less digits than its factorization.

256768300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2567697 (or 2567690 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 256768300 is about 16023.9913879158. The cubic root of 256768300 is about 635.5949948403.

The spelling of 256768300 in words is "two hundred fifty-six million, seven hundred sixty-eight thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2567683 5135366 10270732 12838415 25676830 51353660 64192075 128384150 256768300