42838544 has 60 divisors (see below), whose sum is σ = 97686828. Its totient is φ = 18144000.

The previous prime is 42838511. The next prime is 42838553. The reversal of 42838544 is 44583824.

It can be written as a sum of positive squares in 2 ways, for example, as 31360000 + 11478544 = 5600^2 + 3388^2 .

It is a junction number, because it is equal to n+sod(n) for n = 42838498 and 42838507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78914 + ... + 79454.

Almost surely, 2^42838544 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 42838544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48843414).

42838544 is an abundant number, since it is smaller than the sum of its proper divisors (54848284).

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

42838544 is a wasteful number, since it uses less digits than its factorization.

42838544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 651 counting only the distinct ones).

The product of its digits is 122880, while the sum is 38.

The square root of 42838544 is about 6545.1160417520. The cubic root of 42838544 is about 349.9007718706.

The spelling of 42838544 in words is "forty-two million, eight hundred thirty-eight thousand, five hundred forty-four".