Search a number
-
+
47000741 is a prime number
BaseRepresentation
bin1011001101001…
…0110010100101
310021102212220012
42303102302211
544013010431
64355220005
71110333254
oct263226245
9107385805
1047000741
1124592397
12138a7605
1399781b8
14635679b
1541d622b
hex2cd2ca5

47000741 has 2 divisors, whose sum is σ = 47000742. Its totient is φ = 47000740.

The previous prime is 47000731. The next prime is 47000747. The reversal of 47000741 is 14700074.

47000741 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., 46444225 + 556516 = 6815^2 + 746^2 .

It is a cyclic number.

It is not a de Polignac number, because 47000741 - 210 = 46999717 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (47000747) 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, 23500370 + 23500371.

It is an arithmetic number, because the mean of its divisors is an integer number (23500371).

Almost surely, 247000741 is an apocalyptic number.

It is an amenable number.

47000741 is a deficient number, since it is larger than the sum of its proper divisors (1).

47000741 is an equidigital number, since it uses as much as digits as its factorization.

47000741 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 784, while the sum is 23.

The square root of 47000741 is about 6855.7086431674. The cubic root of 47000741 is about 360.8845045572.

The spelling of 47000741 in words is "forty-seven million, seven hundred forty-one", and thus it is an aban number.