42013224 has 48 divisors (see below), whose sum is σ = 124132320. Its totient is φ = 12731040.

The previous prime is 42013219. The next prime is 42013243. The reversal of 42013224 is 42231024.

It is a super-3 number, since 3×42013224³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 42013197 and 42013206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25732 + ... + 27315.

It is an arithmetic number, because the mean of its divisors is an integer number (2586090).

Almost surely, 2^42013224 is an apocalyptic number.

42013224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42013224 is an abundant number, since it is smaller than the sum of its proper divisors (82119096).

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

42013224 is a wasteful number, since it uses less digits than its factorization.

42013224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53070 (or 53063 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 42013224 is about 6481.7608718619. The cubic root of 42013224 is about 347.6391423877.

Adding to 42013224 its reverse (42231024), we get a palindrome (84244248).

The spelling of 42013224 in words is "forty-two million, thirteen thousand, two hundred twenty-four".