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42586909 is a prime number
BaseRepresentation
bin1010001001110…
…1001100011101
32222010122020221
42202131030131
541400240114
64120441341
71024661041
oct242351435
988118227
1042586909
11220481a2
1212319251
138a91171
145928021
153b13524
hex289d31d

42586909 has 2 divisors, whose sum is σ = 42586910. Its totient is φ = 42586908.

The previous prime is 42586903. The next prime is 42586913. The reversal of 42586909 is 90968524.

42586909 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., 32205625 + 10381284 = 5675^2 + 3222^2 .

It is a cyclic number.

It is not a de Polignac number, because 42586909 - 27 = 42586781 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42586903) 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, 21293454 + 21293455.

It is an arithmetic number, because the mean of its divisors is an integer number (21293455).

Almost surely, 242586909 is an apocalyptic number.

It is an amenable number.

42586909 is a deficient number, since it is larger than the sum of its proper divisors (1).

42586909 is an equidigital number, since it uses as much as digits as its factorization.

42586909 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 155520, while the sum is 43.

The square root of 42586909 is about 6525.8646170450. The cubic root of 42586909 is about 349.2143165212.

The spelling of 42586909 in words is "forty-two million, five hundred eighty-six thousand, nine hundred nine".