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42964249 is a prime number
BaseRepresentation
bin1010001111100…
…1010100011001
32222211210212111
42203321110121
541444323444
64132512321
71031122126
oct243712431
988753774
1042964249
1122285749
121247b6a1
138b93b43
1459c574d
153b8a234
hex28f9519

42964249 has 2 divisors, whose sum is σ = 42964250. Its totient is φ = 42964248.

The previous prime is 42964247. The next prime is 42964297. The reversal of 42964249 is 94246924.

42964249 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., 36385024 + 6579225 = 6032^2 + 2565^2 .

It is a cyclic number.

It is not a de Polignac number, because 42964249 - 21 = 42964247 is a prime.

Together with 42964247, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (42964241) 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, 21482124 + 21482125.

It is an arithmetic number, because the mean of its divisors is an integer number (21482125).

Almost surely, 242964249 is an apocalyptic number.

It is an amenable number.

42964249 is a deficient number, since it is larger than the sum of its proper divisors (1).

42964249 is an equidigital number, since it uses as much as digits as its factorization.

42964249 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 124416, while the sum is 40.

The square root of 42964249 is about 6554.7119692630. The cubic root of 42964249 is about 350.2426861070.

The spelling of 42964249 in words is "forty-two million, nine hundred sixty-four thousand, two hundred forty-nine".