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42067309 is a prime number
BaseRepresentation
bin1010000001111…
…0010101101101
32221011020111111
42200132111231
541232123214
64101352021
71020365134
oct240362555
987136444
1042067309
1121822879
1212108611
13893b7cb
14583091b
153a5e5c4
hex281e56d

42067309 has 2 divisors, whose sum is σ = 42067310. Its totient is φ = 42067308.

The previous prime is 42067297. The next prime is 42067321. The reversal of 42067309 is 90376024.

42067309 is nontrivially palindromic in base 5.

42067309 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (42067297) and next prime (42067321).

It can be written as a sum of positive squares in only one way, i.e., 25786084 + 16281225 = 5078^2 + 4035^2 .

It is a cyclic number.

It is not a de Polignac number, because 42067309 - 221 = 39970157 is a prime.

It is a super-3 number, since 3×420673093 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42067379) 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, 21033654 + 21033655.

It is an arithmetic number, because the mean of its divisors is an integer number (21033655).

Almost surely, 242067309 is an apocalyptic number.

It is an amenable number.

42067309 is a deficient number, since it is larger than the sum of its proper divisors (1).

42067309 is an equidigital number, since it uses as much as digits as its factorization.

42067309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 42067309 is about 6485.9316215945. The cubic root of 42067309 is about 347.7882541738.

The spelling of 42067309 in words is "forty-two million, sixty-seven thousand, three hundred nine".