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42524561 is a prime number
BaseRepresentation
bin1010001000110…
…1111110010001
32222000110201202
42202031332101
541341241221
64115240545
71024311212
oct242157621
988013652
1042524561
1122005372
12122a9155
138a6b981
14590d409
153aeed0b
hex288df91

42524561 has 2 divisors, whose sum is σ = 42524562. Its totient is φ = 42524560.

The previous prime is 42524543. The next prime is 42524567. The reversal of 42524561 is 16542524.

42524561 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., 42510400 + 14161 = 6520^2 + 119^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-42524561 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (42524567) 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, 21262280 + 21262281.

It is an arithmetic number, because the mean of its divisors is an integer number (21262281).

Almost surely, 242524561 is an apocalyptic number.

It is an amenable number.

42524561 is a deficient number, since it is larger than the sum of its proper divisors (1).

42524561 is an equidigital number, since it uses as much as digits as its factorization.

42524561 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 9600, while the sum is 29.

The square root of 42524561 is about 6521.0858758339. The cubic root of 42524561 is about 349.0438146101.

The spelling of 42524561 in words is "forty-two million, five hundred twenty-four thousand, five hundred sixty-one".