42189552 has 80 divisors (see below), whose sum is σ = 123161760. Its totient is φ = 13824000.

The previous prime is 42189517. The next prime is 42189559. The reversal of 42189552 is 25598124.

42189552 is a `hidden beast` number, since 4 + 21 + 89 + 552 = 666.

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 (42189559) 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, 25552 + ... + 27152.

It is an arithmetic number, because the mean of its divisors is an integer number (1539522).

Almost surely, 2^42189552 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 42189552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61580880).

42189552 is an abundant number, since it is smaller than the sum of its proper divisors (80972208).

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

42189552 is a wasteful number, since it uses less digits than its factorization.

42189552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1679 (or 1667 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 42189552 is about 6495.3484894962. The cubic root of 42189552 is about 348.1248066015.

The spelling of 42189552 in words is "forty-two million, one hundred eighty-nine thousand, five hundred fifty-two".