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42042829 is a prime number
BaseRepresentation
bin1010000001100…
…0010111001101
32221002222220211
42200120113031
541230332304
64101042421
71020233563
oct240302715
987088824
1042042829
1121806444
12120b6411
13893061a
145825a33
153a57204
hex28185cd

42042829 has 2 divisors, whose sum is σ = 42042830. Its totient is φ = 42042828.

The previous prime is 42042823. The next prime is 42042901. The reversal of 42042829 is 92824024.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 34833604 + 7209225 = 5902^2 + 2685^2 .

It is a cyclic number.

It is not a de Polignac number, because 42042829 - 23 = 42042821 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 42042829.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42042821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21021414 + 21021415.

It is an arithmetic number, because the mean of its divisors is an integer number (21021415).

Almost surely, 242042829 is an apocalyptic number.

It is an amenable number.

42042829 is a deficient number, since it is larger than the sum of its proper divisors (1).

42042829 is an equidigital number, since it uses as much as digits as its factorization.

42042829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 42042829 is about 6484.0441855373. The cubic root of 42042829 is about 347.7207789088.

The spelling of 42042829 in words is "forty-two million, forty-two thousand, eight hundred twenty-nine".