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42287009 is a prime number
BaseRepresentation
bin1010000101001…
…1111110100001
32221120101212112
42201103332201
541311141014
64110205105
71022301512
oct241237641
987511775
1042287009
1121962946
12121b3795
1389b77cb
14588aa09
153aa473e
hex2853fa1

42287009 has 2 divisors, whose sum is σ = 42287010. Its totient is φ = 42287008.

The previous prime is 42286957. The next prime is 42287029. The reversal of 42287009 is 90078224.

42287009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 38688400 + 3598609 = 6220^2 + 1897^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-42287009 is a prime.

It is a super-2 number, since 2×422870092 = 3576382260332162, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (42287029) 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, 21143504 + 21143505.

It is an arithmetic number, because the mean of its divisors is an integer number (21143505).

Almost surely, 242287009 is an apocalyptic number.

It is an amenable number.

42287009 is a deficient number, since it is larger than the sum of its proper divisors (1).

42287009 is an equidigital number, since it uses as much as digits as its factorization.

42287009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 42287009 is about 6502.8462230011. The cubic root of 42287009 is about 348.3926541880.

The spelling of 42287009 in words is "forty-two million, two hundred eighty-seven thousand, nine".