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42381749 is a prime number
BaseRepresentation
bin1010000110101…
…1000110110101
32221202012211102
42201223012311
541322203444
64112215445
71023144644
oct241530665
987665742
1042381749
1121a18043
121223a585
138a1b977
1458b335b
153ac284e
hex286b1b5

42381749 has 2 divisors, whose sum is σ = 42381750. Its totient is φ = 42381748.

The previous prime is 42381727. The next prime is 42381751. The reversal of 42381749 is 94718324.

42381749 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., 41692849 + 688900 = 6457^2 + 830^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-42381749 is a prime.

It is a Sophie Germain prime.

Together with 42381751, it forms a pair of twin primes.

It is a Chen 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 (42381769) 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, 21190874 + 21190875.

It is an arithmetic number, because the mean of its divisors is an integer number (21190875).

Almost surely, 242381749 is an apocalyptic number.

It is an amenable number.

42381749 is a deficient number, since it is larger than the sum of its proper divisors (1).

42381749 is an equidigital number, since it uses as much as digits as its factorization.

42381749 is an odious number, because the sum of its binary digits is odd.

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

The square root of 42381749 is about 6510.1266500737. The cubic root of 42381749 is about 348.6526402689.

The spelling of 42381749 in words is "forty-two million, three hundred eighty-one thousand, seven hundred forty-nine".