42184032 has 96 divisors (see below), whose sum is σ = 123742080. Its totient is φ = 12472320.

The previous prime is 42184031. The next prime is 42184057. The reversal of 42184032 is 23048124.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 42183993 and 42184011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42184031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44944 + ... + 45872.

It is an arithmetic number, because the mean of its divisors is an integer number (1288980).

Almost surely, 2^42184032 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 42184032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61871040).

42184032 is an abundant number, since it is smaller than the sum of its proper divisors (81558048).

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

42184032 is a wasteful number, since it uses less digits than its factorization.

42184032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 42184032 is about 6494.9235561321. The cubic root of 42184032 is about 348.1096232788.

The spelling of 42184032 in words is "forty-two million, one hundred eighty-four thousand, thirty-two".