42033312 has 36 divisors (see below), whose sum is σ = 119533050. Its totient is φ = 14011008.

The previous prime is 42033307. The next prime is 42033337. The reversal of 42033312 is 21333024.

It can be written as a sum of positive squares in only one way, i.e., 21566736 + 20466576 = 4644^2 + 4524^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 72687 + ... + 73262.

Almost surely, 2^42033312 is an apocalyptic number.

It is an amenable number.

42033312 is an abundant number, since it is smaller than the sum of its proper divisors (77499738).

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

42033312 is a wasteful number, since it uses less digits than its factorization.

42033312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145965 (or 145954 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 42033312 is about 6483.3102655974. The cubic root of 42033312 is about 347.6945397263.

Adding to 42033312 its reverse (21333024), we get a palindrome (63366336).

The spelling of 42033312 in words is "forty-two million, thirty-three thousand, three hundred twelve".