42838740 has 144 divisors (see below), whose sum is σ = 155131200. Its totient is φ = 9785664.

The previous prime is 42838729. The next prime is 42838753. The reversal of 42838740 is 4783824.

42838740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 42838695 and 42838704.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25651 + ... + 27269.

It is an arithmetic number, because the mean of its divisors is an integer number (1077300).

Almost surely, 2^42838740 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 42838740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77565600).

42838740 is an abundant number, since it is smaller than the sum of its proper divisors (112292460).

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

42838740 is a wasteful number, since it uses less digits than its factorization.

42838740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1651 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 42838740 is about 6545.1310147315. The cubic root of 42838740 is about 349.9013055057.

The spelling of 42838740 in words is "forty-two million, eight hundred thirty-eight thousand, seven hundred forty".