42033010 has 32 divisors (see below), whose sum is σ = 80967600. Its totient is φ = 15654912.

The previous prime is 42033007. The next prime is 42033031. The reversal of 42033010 is 1033024.

42033010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 33051001 + 8982009 = 5749^2 + 2997^2 .

It is an unprimeable number.

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, 15216 + ... + 17764.

Almost surely, 2^42033010 is an apocalyptic number.

42033010 is a deficient number, since it is larger than the sum of its proper divisors (38934590).

42033010 is a wasteful number, since it uses less digits than its factorization.

42033010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2670.

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 42033010 is about 6483.2869749842. The cubic root of 42033010 is about 347.6937070217.

Adding to 42033010 its reverse (1033024), we get a palindrome (43066034).

The spelling of 42033010 in words is "forty-two million, thirty-three thousand, ten".