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57066041 is a prime number
BaseRepresentation
bin1101100110110…
…0001000111001
310222101020220002
43121230020321
5104102103131
65355042345
71262024204
oct331541071
9128336802
1057066041
112a23761a
12171403b5
13ba906b6
14781693b
1550236cb
hex366c239

57066041 has 2 divisors, whose sum is σ = 57066042. Its totient is φ = 57066040.

The previous prime is 57066029. The next prime is 57066077. The reversal of 57066041 is 14066075.

57066041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 35952016 + 21114025 = 5996^2 + 4595^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-57066041 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 57065995 and 57066013.

It is not a weakly prime, because it can be changed into another prime (57066011) 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, 28533020 + 28533021.

It is an arithmetic number, because the mean of its divisors is an integer number (28533021).

Almost surely, 257066041 is an apocalyptic number.

It is an amenable number.

57066041 is a deficient number, since it is larger than the sum of its proper divisors (1).

57066041 is an equidigital number, since it uses as much as digits as its factorization.

57066041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 57066041 is about 7554.2068412243. The cubic root of 57066041 is about 384.9986866768.

The spelling of 57066041 in words is "fifty-seven million, sixty-six thousand, forty-one".