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42055033 is a prime number
BaseRepresentation
bin1010000001101…
…1010101111001
32221010121122211
42200123111321
541231230113
64101215121
71020314266
oct240332571
987117584
1042055033
1121814629
12121014a1
138936047
14582a26d
153a5ab3d
hex281b579

42055033 has 2 divisors, whose sum is σ = 42055034. Its totient is φ = 42055032.

The previous prime is 42055019. The next prime is 42055099. The reversal of 42055033 is 33055024.

42055033 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., 35964009 + 6091024 = 5997^2 + 2468^2 .

It is a cyclic number.

It is not a de Polignac number, because 42055033 - 213 = 42046841 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42054995 and 42055013.

It is not a weakly prime, because it can be changed into another prime (42055733) 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, 21027516 + 21027517.

It is an arithmetic number, because the mean of its divisors is an integer number (21027517).

Almost surely, 242055033 is an apocalyptic number.

It is an amenable number.

42055033 is a deficient number, since it is larger than the sum of its proper divisors (1).

42055033 is an equidigital number, since it uses as much as digits as its factorization.

42055033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1800, while the sum is 22.

The square root of 42055033 is about 6484.9851965907. The cubic root of 42055033 is about 347.7544205860.

Subtracting from 42055033 its reverse (33055024), we obtain a palindrome (9000009).

The spelling of 42055033 in words is "forty-two million, fifty-five thousand, thirty-three".