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47130257 is a prime number
BaseRepresentation
bin1011001111001…
…0011010010001
310021200110120002
42303302122101
544031132012
64402055345
71111412666
oct263623221
9107613502
1047130257
1124670729
121394a555
1399c2135
14638ba6d
15420e7c2
hex2cf2691

47130257 has 2 divisors, whose sum is σ = 47130258. Its totient is φ = 47130256.

The previous prime is 47130229. The next prime is 47130269. The reversal of 47130257 is 75203174.

47130257 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., 36048016 + 11082241 = 6004^2 + 3329^2 .

It is a cyclic number.

It is not a de Polignac number, because 47130257 - 218 = 46868113 is a prime.

It is a super-2 number, since 2×471302572 = 4442522249772098, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (47130227) 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, 23565128 + 23565129.

It is an arithmetic number, because the mean of its divisors is an integer number (23565129).

Almost surely, 247130257 is an apocalyptic number.

It is an amenable number.

47130257 is a deficient number, since it is larger than the sum of its proper divisors (1).

47130257 is an equidigital number, since it uses as much as digits as its factorization.

47130257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5880, while the sum is 29.

The square root of 47130257 is about 6865.1479954914. The cubic root of 47130257 is about 361.2156869266.

The spelling of 47130257 in words is "forty-seven million, one hundred thirty thousand, two hundred fifty-seven".