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42524057 is a prime number
BaseRepresentation
bin1010001000110…
…1110110011001
32222000110001002
42202031312121
541341232212
64115234345
71024306562
oct242156631
988013032
1042524057
1122004a54
12122a89b5
138a6b684
14590d169
153aeeac2
hex288dd99

42524057 has 2 divisors, whose sum is σ = 42524058. Its totient is φ = 42524056.

The previous prime is 42524051. The next prime is 42524059. The reversal of 42524057 is 75042524.

It is a happy number.

42524057 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., 42198016 + 326041 = 6496^2 + 571^2 .

It is a cyclic number.

It is not a de Polignac number, because 42524057 - 26 = 42523993 is a prime.

Together with 42524059, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (42524051) 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, 21262028 + 21262029.

It is an arithmetic number, because the mean of its divisors is an integer number (21262029).

Almost surely, 242524057 is an apocalyptic number.

It is an amenable number.

42524057 is a deficient number, since it is larger than the sum of its proper divisors (1).

42524057 is an equidigital number, since it uses as much as digits as its factorization.

42524057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11200, while the sum is 29.

The square root of 42524057 is about 6521.0472318486. The cubic root of 42524057 is about 349.0424356519.

The spelling of 42524057 in words is "forty-two million, five hundred twenty-four thousand, fifty-seven".