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264541241 is a prime number
BaseRepresentation
bin11111100010010…
…01010000111001
3200102210002100202
433301021100321
51020210304431
642130011545
76361364156
oct1761112071
9612702322
10264541241
11126365828
1274716bb5
1342a642a3
14271c322d
15183578cb
hexfc49439

264541241 has 2 divisors, whose sum is σ = 264541242. Its totient is φ = 264541240.

The previous prime is 264541181. The next prime is 264541271. The reversal of 264541241 is 142145462.

264541241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 134467216 + 130074025 = 11596^2 + 11405^2 .

It is a cyclic number.

It is not a de Polignac number, because 264541241 - 26 = 264541177 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (264541271) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 132270620 + 132270621.

It is an arithmetic number, because the mean of its divisors is an integer number (132270621).

Almost surely, 2264541241 is an apocalyptic number.

It is an amenable number.

264541241 is a deficient number, since it is larger than the sum of its proper divisors (1).

264541241 is an equidigital number, since it uses as much as digits as its factorization.

264541241 is an evil number, because the sum of its binary digits is even.

The product of its digits is 7680, while the sum is 29.

The square root of 264541241 is about 16264.7238218176. The cubic root of 264541241 is about 641.9449629809.

The spelling of 264541241 in words is "two hundred sixty-four million, five hundred forty-one thousand, two hundred forty-one".