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256064033 is a prime number
BaseRepresentation
bin11110100001100…
…11101000100001
3122211211101211002
433100303220201
51011023022113
641224201345
76226336241
oct1720635041
9584741732
10256064033
111215a5775
1271909255
13410868a4
1426017b21
1517730c58
hexf433a21

256064033 has 2 divisors, whose sum is σ = 256064034. Its totient is φ = 256064032.

The previous prime is 256063981. The next prime is 256064051. The reversal of 256064033 is 330460652.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 216913984 + 39150049 = 14728^2 + 6257^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-256064033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 256063987 and 256064005.

It is not a weakly prime, because it can be changed into another prime (256064093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128032016 + 128032017.

It is an arithmetic number, because the mean of its divisors is an integer number (128032017).

Almost surely, 2256064033 is an apocalyptic number.

It is an amenable number.

256064033 is a deficient number, since it is larger than the sum of its proper divisors (1).

256064033 is an equidigital number, since it uses as much as digits as its factorization.

256064033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12960, while the sum is 29.

The square root of 256064033 is about 16002.0009061367. Note that the first 3 decimals coincide. The cubic root of 256064033 is about 635.0133570258.

Subtracting from 256064033 its sum of digits (29), we obtain a square (256064004 = 160022).

The spelling of 256064033 in words is "two hundred fifty-six million, sixty-four thousand, thirty-three".