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41585209 is a prime number
BaseRepresentation
bin1001111010100…
…0101000111001
32220020202011221
42132220220321
541121211314
64043152041
71013316451
oct236505071
986222157
1041585209
1121523646
1211b15621
138800243
145746d61
1539b6824
hex27a8a39

41585209 has 2 divisors, whose sum is σ = 41585210. Its totient is φ = 41585208.

The previous prime is 41585207. The next prime is 41585227. The reversal of 41585209 is 90258514.

41585209 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., 23309584 + 18275625 = 4828^2 + 4275^2 .

It is a cyclic number.

It is not a de Polignac number, because 41585209 - 21 = 41585207 is a prime.

Together with 41585207, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (41585207) 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, 20792604 + 20792605.

It is an arithmetic number, because the mean of its divisors is an integer number (20792605).

Almost surely, 241585209 is an apocalyptic number.

It is an amenable number.

41585209 is a deficient number, since it is larger than the sum of its proper divisors (1).

41585209 is an equidigital number, since it uses as much as digits as its factorization.

41585209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14400, while the sum is 34.

The square root of 41585209 is about 6448.6594730998. The cubic root of 41585209 is about 346.4545714267.

The spelling of 41585209 in words is "forty-one million, five hundred eighty-five thousand, two hundred nine".