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47145257 is a prime number
BaseRepresentation
bin1011001111011…
…0000100101001
310021201020010122
42303312010221
544032122012
64402253025
71111504505
oct263660451
9107636118
1047145257
1124680a25
1213957175
1399c8c03
146393305
154213e72
hex2cf6129

47145257 has 2 divisors, whose sum is σ = 47145258. Its totient is φ = 47145256.

The previous prime is 47145247. The next prime is 47145281. The reversal of 47145257 is 75254174.

47145257 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., 45373696 + 1771561 = 6736^2 + 1331^2 .

It is a cyclic number.

It is not a de Polignac number, because 47145257 - 28 = 47145001 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (47145227) 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, 23572628 + 23572629.

It is an arithmetic number, because the mean of its divisors is an integer number (23572629).

Almost surely, 247145257 is an apocalyptic number.

It is an amenable number.

47145257 is a deficient number, since it is larger than the sum of its proper divisors (1).

47145257 is an equidigital number, since it uses as much as digits as its factorization.

47145257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 39200, while the sum is 35.

The square root of 47145257 is about 6866.2403832083. The cubic root of 47145257 is about 361.2540038588.

The spelling of 47145257 in words is "forty-seven million, one hundred forty-five thousand, two hundred fifty-seven".