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47138129 is a prime number
BaseRepresentation
bin1011001111010…
…0010101010001
310021200212100122
42303310111101
544031410004
64402200025
71111444643
oct263642521
9107625318
1047138129
1124676635
1213953015
1399c58ac
146390893
154211cbe
hex2cf4551

47138129 has 2 divisors, whose sum is σ = 47138130. Its totient is φ = 47138128.

The previous prime is 47138083. The next prime is 47138141. The reversal of 47138129 is 92183174.

47138129 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., 44422225 + 2715904 = 6665^2 + 1648^2 .

It is a cyclic number.

It is not a de Polignac number, because 47138129 - 220 = 46089553 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (47138159) 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, 23569064 + 23569065.

It is an arithmetic number, because the mean of its divisors is an integer number (23569065).

Almost surely, 247138129 is an apocalyptic number.

It is an amenable number.

47138129 is a deficient number, since it is larger than the sum of its proper divisors (1).

47138129 is an equidigital number, since it uses as much as digits as its factorization.

47138129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 12096, while the sum is 35.

The square root of 47138129 is about 6865.7213022377. The cubic root of 47138129 is about 361.2357966662.

The spelling of 47138129 in words is "forty-seven million, one hundred thirty-eight thousand, one hundred twenty-nine".