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42642133 is a prime number
BaseRepresentation
bin1010001010101…
…0101011010101
32222020110000021
42202222223111
541404022013
64121545141
71025311042
oct242525325
988213007
1042642133
1122085736
12123451b1
138ab0341
1459401c9
153b24a8d
hex28aaad5

42642133 has 2 divisors, whose sum is σ = 42642134. Its totient is φ = 42642132.

The previous prime is 42642107. The next prime is 42642179. The reversal of 42642133 is 33124624.

42642133 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., 25979409 + 16662724 = 5097^2 + 4082^2 .

It is a cyclic number.

It is not a de Polignac number, because 42642133 - 221 = 40544981 is a prime.

It is equal to p2584240 and since 42642133 and 2584240 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 42642098 and 42642107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42642533) 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, 21321066 + 21321067.

It is an arithmetic number, because the mean of its divisors is an integer number (21321067).

Almost surely, 242642133 is an apocalyptic number.

It is an amenable number.

42642133 is a deficient number, since it is larger than the sum of its proper divisors (1).

42642133 is an equidigital number, since it uses as much as digits as its factorization.

42642133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3456, while the sum is 25.

The square root of 42642133 is about 6530.0944097310. The cubic root of 42642133 is about 349.3651976410.

Adding to 42642133 its reverse (33124624), we get a palindrome (75766757).

The spelling of 42642133 in words is "forty-two million, six hundred forty-two thousand, one hundred thirty-three".