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42582521 is a prime number
BaseRepresentation
bin1010001001110…
…0000111111001
32222010102020102
42202130013321
541400120041
64120405145
71024642202
oct242340771
988112212
1042582521
1122044973
12123167b5
138a8c177
1459265a9
153b1209b
hex289c1f9

42582521 has 2 divisors, whose sum is σ = 42582522. Its totient is φ = 42582520.

The previous prime is 42582487. The next prime is 42582539. The reversal of 42582521 is 12528524.

42582521 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., 25110121 + 17472400 = 5011^2 + 4180^2 .

It is a cyclic number.

It is not a de Polignac number, because 42582521 - 26 = 42582457 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (42582541) 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, 21291260 + 21291261.

It is an arithmetic number, because the mean of its divisors is an integer number (21291261).

Almost surely, 242582521 is an apocalyptic number.

It is an amenable number.

42582521 is a deficient number, since it is larger than the sum of its proper divisors (1).

42582521 is an equidigital number, since it uses as much as digits as its factorization.

42582521 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6400, while the sum is 29.

The square root of 42582521 is about 6525.5284077230. The cubic root of 42582521 is about 349.2023221855.

The spelling of 42582521 in words is "forty-two million, five hundred eighty-two thousand, five hundred twenty-one".