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42585449 is a prime number
BaseRepresentation
bin1010001001110…
…0110101101001
32222010120020212
42202130311221
541400213244
64120430505
71024653554
oct242346551
988116225
1042585449
1122047095
1212318435
138a905ba
14592769b
153b12d9e
hex289cd69

42585449 has 2 divisors, whose sum is σ = 42585450. Its totient is φ = 42585448.

The previous prime is 42585419. The next prime is 42585457. The reversal of 42585449 is 94458524.

42585449 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., 37295449 + 5290000 = 6107^2 + 2300^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-42585449 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (42585419) 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, 21292724 + 21292725.

It is an arithmetic number, because the mean of its divisors is an integer number (21292725).

Almost surely, 242585449 is an apocalyptic number.

It is an amenable number.

42585449 is a deficient number, since it is larger than the sum of its proper divisors (1).

42585449 is an equidigital number, since it uses as much as digits as its factorization.

42585449 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 230400, while the sum is 41.

The square root of 42585449 is about 6525.7527535143. The cubic root of 42585449 is about 349.2103257899.

It can be divided in two parts, 42585 and 449, that added together give a palindrome (43034).

The spelling of 42585449 in words is "forty-two million, five hundred eighty-five thousand, four hundred forty-nine".