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57066029 is a prime number
BaseRepresentation
bin1101100110110…
…0001000101101
310222101020212122
43121230020231
5104102103104
65355042325
71262024156
oct331541055
9128336778
1057066029
112a237609
12171403a5
13ba906a7
14781692d
1550236be
hex366c22d

57066029 has 2 divisors, whose sum is σ = 57066030. Its totient is φ = 57066028.

The previous prime is 57066011. The next prime is 57066041. The reversal of 57066029 is 92066075.

57066029 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., 48972004 + 8094025 = 6998^2 + 2845^2 .

It is a cyclic number.

It is not a de Polignac number, because 57066029 - 224 = 40288813 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 57066029.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (57066829) 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, 28533014 + 28533015.

It is an arithmetic number, because the mean of its divisors is an integer number (28533015).

Almost surely, 257066029 is an apocalyptic number.

It is an amenable number.

57066029 is a deficient number, since it is larger than the sum of its proper divisors (1).

57066029 is an equidigital number, since it uses as much as digits as its factorization.

57066029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 22680, while the sum is 35.

The square root of 57066029 is about 7554.2060469648. The cubic root of 57066029 is about 384.9986596906.

The spelling of 57066029 in words is "fifty-seven million, sixty-six thousand, twenty-nine".