42033024 has 192 divisors, whose sum is σ = 137479680. Its totient is φ = 12211200.

The previous prime is 42033007. The next prime is 42033031.

42033024 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 42032988 and 42033006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 392779 + ... + 392885.

It is an arithmetic number, because the mean of its divisors is an integer number (716040).

Almost surely, 2^42033024 is an apocalyptic number.

42033024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42033024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68739840).

42033024 is an abundant number, since it is smaller than the sum of its proper divisors (95446656).

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

42033024 is a wasteful number, since it uses less digits than its factorization.

42033024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 42033024 is about 6483.2880546834. The cubic root of 42033024 is about 347.6937456240.

It can be divided in two parts, 4203 and 3024, that added together give a palindrome (7227).

The spelling of 42033024 in words is "forty-two million, thirty-three thousand, twenty-four".