42187392 has 160 divisors (see below), whose sum is σ = 135638580. Its totient is φ = 12939264.

The previous prime is 42187381. The next prime is 42187393. The reversal of 42187392 is 29378124.

It can be written as a sum of positive squares in 2 ways, for example, as 30735936 + 11451456 = 5544^2 + 3384^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42187393) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 134628 + ... + 134940.

Almost surely, 2^42187392 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 42187392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67819290).

42187392 is an abundant number, since it is smaller than the sum of its proper divisors (93451188).

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

42187392 is a wasteful number, since it uses less digits than its factorization.

42187392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 331 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 42187392 is about 6495.1822145341. The cubic root of 42187392 is about 348.1188654590.

The spelling of 42187392 in words is "forty-two million, one hundred eighty-seven thousand, three hundred ninety-two".