42504192 has 78 divisors (see below), whose sum is σ = 122881382. Its totient is φ = 14155776.

The previous prime is 42504181. The next prime is 42504239. The reversal of 42504192 is 29140524.

It can be written as a sum of positive squares in only one way, i.e., 40144896 + 2359296 = 6336^2 + 1536^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36288 + ... + 37440.

Almost surely, 2^42504192 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 42504192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61440691).

42504192 is an abundant number, since it is smaller than the sum of its proper divisors (80377190).

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

42504192 is a wasteful number, since it uses less digits than its factorization.

42504192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1183 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 42504192 is about 6519.5239089983. The cubic root of 42504192 is about 348.9880757715.

The spelling of 42504192 in words is "forty-two million, five hundred four thousand, one hundred ninety-two".