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42267809 is a prime number
BaseRepresentation
bin1010000100111…
…1010010100001
32221112102112102
42201033102201
541310032214
64105540145
71022161523
oct241172241
987472472
1042267809
112194a481
12121a4655
1389abb4c
145883a13
153a9dbde
hex284f4a1

42267809 has 2 divisors, whose sum is σ = 42267810. Its totient is φ = 42267808.

The previous prime is 42267781. The next prime is 42267811. The reversal of 42267809 is 90876224.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31192225 + 11075584 = 5585^2 + 3328^2 .

It is a cyclic number.

It is not a de Polignac number, because 42267809 - 212 = 42263713 is a prime.

It is a super-3 number, since 3×422678093 (a number of 24 digits) contains 333 as substring.

Together with 42267811, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (42267109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21133904 + 21133905.

It is an arithmetic number, because the mean of its divisors is an integer number (21133905).

Almost surely, 242267809 is an apocalyptic number.

It is an amenable number.

42267809 is a deficient number, since it is larger than the sum of its proper divisors (1).

42267809 is an equidigital number, since it uses as much as digits as its factorization.

42267809 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 42267809 is about 6501.3697787466. The cubic root of 42267809 is about 348.3399181212.

The spelling of 42267809 in words is "forty-two million, two hundred sixty-seven thousand, eight hundred nine".