Search a number
-
+
57911041 is a prime number
BaseRepresentation
bin1101110011101…
…0011100000001
311000222012000101
43130322130001
5104311123131
65425122401
71302143566
oct334723401
9130865011
1057911041
112a764471
1217489401
13bcc81b6
14799686d
15513dc61
hex373a701

57911041 has 2 divisors, whose sum is σ = 57911042. Its totient is φ = 57911040.

The previous prime is 57910997. The next prime is 57911053. The reversal of 57911041 is 14011975.

57911041 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., 56565441 + 1345600 = 7521^2 + 1160^2 .

It is a cyclic number.

It is not a de Polignac number, because 57911041 - 27 = 57910913 is a prime.

It is not a weakly prime, because it can be changed into another prime (57911071) 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, 28955520 + 28955521.

It is an arithmetic number, because the mean of its divisors is an integer number (28955521).

Almost surely, 257911041 is an apocalyptic number.

It is an amenable number.

57911041 is a deficient number, since it is larger than the sum of its proper divisors (1).

57911041 is an equidigital number, since it uses as much as digits as its factorization.

57911041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1260, while the sum is 28.

The square root of 57911041 is about 7609.9304201813. The cubic root of 57911041 is about 386.8896608922.

The spelling of 57911041 in words is "fifty-seven million, nine hundred eleven thousand, forty-one".