42838224 has 120 divisors (see below), whose sum is σ = 131679072. Its totient is φ = 11831040.

The previous prime is 42838219. The next prime is 42838231. The reversal of 42838224 is 42283824.

It is a super-2 number, since 2×42838224² = 3670226870948352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 542217 + ... + 542295.

Almost surely, 2^42838224 is an apocalyptic number.

42838224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42838224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65839536).

42838224 is an abundant number, since it is smaller than the sum of its proper divisors (88840848).

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

42838224 is a wasteful number, since it uses less digits than its factorization.

42838224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 108 counting only the distinct ones).

The product of its digits is 24576, while the sum is 33.

The square root of 42838224 is about 6545.0915959977. The cubic root of 42838224 is about 349.8999006262.

The spelling of 42838224 in words is "forty-two million, eight hundred thirty-eight thousand, two hundred twenty-four".