42182784 has 96 divisors (see below), whose sum is σ = 138752640. Its totient is φ = 12049920.

The previous prime is 42182779. The next prime is 42182801. The reversal of 42182784 is 48728124.

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 (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5449 + ... + 10679.

It is an arithmetic number, because the mean of its divisors is an integer number (1445340).

Almost surely, 2^42182784 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 42182784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69376320).

42182784 is an abundant number, since it is smaller than the sum of its proper divisors (96569856).

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

42182784 is a wasteful number, since it uses less digits than its factorization.

42182784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5258 (or 5243 counting only the distinct ones).

The product of its digits is 28672, while the sum is 36.

The square root of 42182784 is about 6494.8274803878. The cubic root of 42182784 is about 348.1061903440.

The spelling of 42182784 in words is "forty-two million, one hundred eighty-two thousand, seven hundred eighty-four".