42029033 has 16 divisors (see below), whose sum is σ = 44782080. Its totient is φ = 39384576.

The previous prime is 42029011. The next prime is 42029051. The reversal of 42029033 is 33092024.

42029033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 42029033 - 2¹² = 42024937 is a prime.

It is a super-3 number, since 3×42029033³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42022033) 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 in 15 ways as a sum of consecutive naturals, for example, 188360 + ... + 188582.

It is an arithmetic number, because the mean of its divisors is an integer number (2798880).

Almost surely, 2^42029033 is an apocalyptic number.

It is an amenable number.

42029033 is a deficient number, since it is larger than the sum of its proper divisors (2753047).

42029033 is a wasteful number, since it uses less digits than its factorization.

42029033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416.

The product of its (nonzero) digits is 1296, while the sum is 23.

The square root of 42029033 is about 6482.9802560242. The cubic root of 42029033 is about 347.6827408669.

The spelling of 42029033 in words is "forty-two million, twenty-nine thousand, thirty-three".