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42242033 is a prime number
BaseRepresentation
bin1010000100100…
…0111111110001
32221111010011202
42201020333301
541303221113
64105220545
71022023421
oct241107761
987433152
1042242033
1121932079
1212191755
1389a01b2
145878481
153a96258
hex2848ff1

42242033 has 2 divisors, whose sum is σ = 42242034. Its totient is φ = 42242032.

The previous prime is 42242029. The next prime is 42242047. The reversal of 42242033 is 33024224.

42242033 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., 38353249 + 3888784 = 6193^2 + 1972^2 .

It is a cyclic number.

It is not a de Polignac number, because 42242033 - 22 = 42242029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42241996 and 42242014.

It is not a weakly prime, because it can be changed into another prime (42242023) 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, 21121016 + 21121017.

It is an arithmetic number, because the mean of its divisors is an integer number (21121017).

Almost surely, 242242033 is an apocalyptic number.

It is an amenable number.

42242033 is a deficient number, since it is larger than the sum of its proper divisors (1).

42242033 is an equidigital number, since it uses as much as digits as its factorization.

42242033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 42242033 is about 6499.3871249526. The cubic root of 42242033 is about 348.2690948341.

Adding to 42242033 its reverse (33024224), we get a palindrome (75266257).

The spelling of 42242033 in words is "forty-two million, two hundred forty-two thousand, thirty-three".