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256003417 is a prime number
BaseRepresentation
bin11110100001001…
…00110101011001
3122211201022200001
433100210311121
51011014102132
641223013001
76225664435
oct1720446531
9584638601
10256003417
1112156417a
127189a161
1341065117
1425ddd9c5
151771cce7
hexf424d59

256003417 has 2 divisors, whose sum is σ = 256003418. Its totient is φ = 256003416.

The previous prime is 256003403. The next prime is 256003439. The reversal of 256003417 is 714300652.

256003417 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 219750976 + 36252441 = 14824^2 + 6021^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-256003417 is a prime.

It is a super-3 number, since 3×2560034173 (a number of 26 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (256003117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128001708 + 128001709.

It is an arithmetic number, because the mean of its divisors is an integer number (128001709).

Almost surely, 2256003417 is an apocalyptic number.

It is an amenable number.

256003417 is a deficient number, since it is larger than the sum of its proper divisors (1).

256003417 is an equidigital number, since it uses as much as digits as its factorization.

256003417 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 256003417 is about 16000.1067808937. The cubic root of 256003417 is about 634.9632458525.

The spelling of 256003417 in words is "two hundred fifty-six million, three thousand, four hundred seventeen".