42033800 has 24 divisors (see below), whose sum is σ = 97729050. Its totient is φ = 16813440.

The previous prime is 42033791. The next prime is 42033821. The reversal of 42033800 is 833024.

It can be written as a sum of positive squares in 3 ways, for example, as 20448484 + 21585316 = 4522^2 + 4646^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 104885 + ... + 105284.

Almost surely, 2^42033800 is an apocalyptic number.

42033800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42033800 is an abundant number, since it is smaller than the sum of its proper divisors (55695250).

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

42033800 is a wasteful number, since it uses less digits than its factorization.

42033800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210185 (or 210176 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 42033800 is about 6483.3479005835. The cubic root of 42033800 is about 347.6958852804.

Adding to 42033800 its reverse (833024), we get a palindrome (42866824).

The spelling of 42033800 in words is "forty-two million, thirty-three thousand, eight hundred".