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42712609 is a prime number
BaseRepresentation
bin1010001011101…
…1111000100001
32222101000200111
42202323320201
541413300414
64123251321
71026023362
oct242737041
988330614
1042712609
1122123685
1212379b41
138b06444
14595bb69
153b3a8c4
hex28bbe21

42712609 has 2 divisors, whose sum is σ = 42712610. Its totient is φ = 42712608.

The previous prime is 42712601. The next prime is 42712639. The reversal of 42712609 is 90621724.

42712609 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., 27720225 + 14992384 = 5265^2 + 3872^2 .

It is a cyclic number.

It is not a de Polignac number, because 42712609 - 23 = 42712601 is a prime.

It is not a weakly prime, because it can be changed into another prime (42712601) 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, 21356304 + 21356305.

It is an arithmetic number, because the mean of its divisors is an integer number (21356305).

Almost surely, 242712609 is an apocalyptic number.

It is an amenable number.

42712609 is a deficient number, since it is larger than the sum of its proper divisors (1).

42712609 is an equidigital number, since it uses as much as digits as its factorization.

42712609 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 42712609 is about 6535.4884285721. The cubic root of 42712609 is about 349.5575606705.

It can be divided in two parts, 4 and 2712609, that multiplied together give a square (10850436 = 32942).

The spelling of 42712609 in words is "forty-two million, seven hundred twelve thousand, six hundred nine".