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42761009 is a prime number
BaseRepresentation
bin1010001100011…
…1101100110001
32222110111002002
42203013230301
541421323014
64124303345
71026314444
oct243075461
988414062
1042761009
1122156a85
12123a1b55
138b22495
14597165b
153b49dde
hex28c7b31

42761009 has 2 divisors, whose sum is σ = 42761010. Its totient is φ = 42761008.

The previous prime is 42760999. The next prime is 42761053. The reversal of 42761009 is 90016724.

42761009 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., 41886784 + 874225 = 6472^2 + 935^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-42761009 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (42761309) 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, 21380504 + 21380505.

It is an arithmetic number, because the mean of its divisors is an integer number (21380505).

Almost surely, 242761009 is an apocalyptic number.

It is an amenable number.

42761009 is a deficient number, since it is larger than the sum of its proper divisors (1).

42761009 is an equidigital number, since it uses as much as digits as its factorization.

42761009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 42761009 is about 6539.1902403891. The cubic root of 42761009 is about 349.6895451118.

The spelling of 42761009 in words is "forty-two million, seven hundred sixty-one thousand, nine".