Search a number
-
+
47311057 is a prime number
BaseRepresentation
bin1011010001111…
…0100011010001
310022000122120101
42310132203101
544102423212
64410012401
71113065053
oct264364321
9108018511
1047311057
1124784552
1213a17101
139a56511
1463d78d3
154248157
hex2d1e8d1

47311057 has 2 divisors, whose sum is σ = 47311058. Its totient is φ = 47311056.

The previous prime is 47311027. The next prime is 47311073. The reversal of 47311057 is 75011374.

47311057 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., 34857216 + 12453841 = 5904^2 + 3529^2 .

It is a cyclic number.

It is not a de Polignac number, because 47311057 - 219 = 46786769 is a prime.

It is a super-2 number, since 2×473110572 = 4476672228914498, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (47311027) 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, 23655528 + 23655529.

It is an arithmetic number, because the mean of its divisors is an integer number (23655529).

Almost surely, 247311057 is an apocalyptic number.

It is an amenable number.

47311057 is a deficient number, since it is larger than the sum of its proper divisors (1).

47311057 is an equidigital number, since it uses as much as digits as its factorization.

47311057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2940, while the sum is 28.

The square root of 47311057 is about 6878.3033518448. The cubic root of 47311057 is about 361.6769932941.

The spelling of 47311057 in words is "forty-seven million, three hundred eleven thousand, fifty-seven".