42033888 has 144 divisors (see below), whose sum is σ = 131171040. Its totient is φ = 12690432.

The previous prime is 42033863. The next prime is 42033907. The reversal of 42033888 is 88833024.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 385578 + ... + 385686.

It is an arithmetic number, because the mean of its divisors is an integer number (910910).

Almost surely, 2^42033888 is an apocalyptic number.

42033888 is a gapful number since it is divisible by the number (48) 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 42033888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65585520).

42033888 is an abundant number, since it is smaller than the sum of its proper divisors (89137152).

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

42033888 is a wasteful number, since it uses less digits than its factorization.

42033888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 42033888 is about 6483.3546871971. The cubic root of 42033888 is about 347.6961279202.

The spelling of 42033888 in words is "forty-two million, thirty-three thousand, eight hundred eighty-eight".