42003024 has 80 divisors (see below), whose sum is σ = 127075200. Its totient is φ = 11704320.

The previous prime is 42003023. The next prime is 42003061. The reversal of 42003024 is 42030024.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 42002994 and 42003012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42003023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12252 + ... + 15300.

It is an arithmetic number, because the mean of its divisors is an integer number (1588440).

Almost surely, 2^42003024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42003024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63537600).

42003024 is an abundant number, since it is smaller than the sum of its proper divisors (85072176).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42003024 is a wasteful number, since it uses less digits than its factorization.

42003024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3108 (or 3102 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 42003024 is about 6480.9740008736. The cubic root of 42003024 is about 347.6110067524.

Adding to 42003024 its reverse (42030024), we get a palindrome (84033048).

Subtracting 42003024 from its reverse (42030024), we obtain a cube (27000 = 30³).

The spelling of 42003024 in words is "forty-two million, three thousand, twenty-four".