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42813049 is a prime number
BaseRepresentation
bin1010001101010…
…0011001111001
32222120010110111
42203110121321
541430004144
64125344321
71026622246
oct243243171
988503414
1042813049
1122192094
12124080a1
138b40086
1459865cd
153b5a534
hex28d4679

42813049 has 2 divisors, whose sum is σ = 42813050. Its totient is φ = 42813048.

The previous prime is 42813047. The next prime is 42813151. The reversal of 42813049 is 94031824.

42813049 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., 41990400 + 822649 = 6480^2 + 907^2 .

It is a cyclic number.

It is not a de Polignac number, because 42813049 - 21 = 42813047 is a prime.

Together with 42813047, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 42813049.

It is not a weakly prime, because it can be changed into another prime (42813047) 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, 21406524 + 21406525.

It is an arithmetic number, because the mean of its divisors is an integer number (21406525).

Almost surely, 242813049 is an apocalyptic number.

It is an amenable number.

42813049 is a deficient number, since it is larger than the sum of its proper divisors (1).

42813049 is an equidigital number, since it uses as much as digits as its factorization.

42813049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 42813049 is about 6543.1681164402. The cubic root of 42813049 is about 349.8313445930.

The spelling of 42813049 in words is "forty-two million, eight hundred thirteen thousand, forty-nine".