42935184 has 90 divisors (see below), whose sum is σ = 125079110. Its totient is φ = 14276736.

The previous prime is 42935177. The next prime is 42935213. The reversal of 42935184 is 48153924.

It can be written as a sum of positive squares in only one way, i.e., 41990400 + 944784 = 6480^2 + 972^2 .

It is a super-2 number, since 2×42935184² = 3686860050227712, which contains 22 as substring.

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

It is a nialpdrome in base 9.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 104772 + ... + 105180.

Almost surely, 2^42935184 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 42935184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62539555).

42935184 is an abundant number, since it is smaller than the sum of its proper divisors (82143926).

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

42935184 is an frugal number, since it uses more digits than its factorization.

42935184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 414 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 42935184 is about 6552.4944868348. The cubic root of 42935184 is about 350.1636894195.

The spelling of 42935184 in words is "forty-two million, nine hundred thirty-five thousand, one hundred eighty-four".