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42775709 is a prime number
BaseRepresentation
bin1010001100101…
…1010010011101
32222111020020112
42203023102131
541422310314
64124455405
71026405344
oct243132235
988436215
1042775709
1122167029
12123aa565
138b29092
145976b5b
153b4e43e
hex28cb49d

42775709 has 2 divisors, whose sum is σ = 42775710. Its totient is φ = 42775708.

The previous prime is 42775697. The next prime is 42775727. The reversal of 42775709 is 90757724.

42775709 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., 41925625 + 850084 = 6475^2 + 922^2 .

It is a cyclic number.

It is not a de Polignac number, because 42775709 - 224 = 25998493 is a prime.

It is a super-3 number, since 3×427757093 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42775309) 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, 21387854 + 21387855.

It is an arithmetic number, because the mean of its divisors is an integer number (21387855).

Almost surely, 242775709 is an apocalyptic number.

It is an amenable number.

42775709 is a deficient number, since it is larger than the sum of its proper divisors (1).

42775709 is an equidigital number, since it uses as much as digits as its factorization.

42775709 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 123480, while the sum is 41.

The square root of 42775709 is about 6540.3141361864. The cubic root of 42775709 is about 349.7296115765.

The spelling of 42775709 in words is "forty-two million, seven hundred seventy-five thousand, seven hundred nine".