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42829049 is a prime number
BaseRepresentation
bin1010001101100…
…0010011111001
32222120221102002
42203120103321
541431012144
64125550345
71030020014
oct243302371
988527362
1042829049
11221a310a
12124153b5
138b47443
14598c37b
153b6014e
hex28d84f9

42829049 has 2 divisors, whose sum is σ = 42829050. Its totient is φ = 42829048.

The previous prime is 42829019. The next prime is 42829109. The reversal of 42829049 is 94092824.

42829049 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., 25755625 + 17073424 = 5075^2 + 4132^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-42829049 is a prime.

It is not a weakly prime, because it can be changed into another prime (42829019) 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, 21414524 + 21414525.

It is an arithmetic number, because the mean of its divisors is an integer number (21414525).

Almost surely, 242829049 is an apocalyptic number.

It is an amenable number.

42829049 is a deficient number, since it is larger than the sum of its proper divisors (1).

42829049 is an equidigital number, since it uses as much as digits as its factorization.

42829049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 42829049 is about 6544.3906515427. The cubic root of 42829049 is about 349.8749185696.

It can be divided in two parts, 4282 and 9049, that added together give a palindrome (13331).

The spelling of 42829049 in words is "forty-two million, eight hundred twenty-nine thousand, forty-nine".