42838272 has 54 divisors (see below), whose sum is σ = 123519942. Its totient is φ = 14278656.

The previous prime is 42838261. The next prime is 42838273. The reversal of 42838272 is 27283824.

It can be written as a sum of positive squares in only one way, i.e., 37748736 + 5089536 = 6144^2 + 2256^2 .

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

It is not an unprimeable number, because it can be changed into a prime (42838273) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6993 + ... + 11600.

Almost surely, 2^42838272 is an apocalyptic number.

It is an amenable number.

42838272 is an abundant number, since it is smaller than the sum of its proper divisors (80681670).

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

42838272 is a wasteful number, since it uses less digits than its factorization.

42838272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18615 (or 18598 counting only the distinct ones).

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

The square root of 42838272 is about 6545.0952628667. The cubic root of 42838272 is about 349.9000313131.

The spelling of 42838272 in words is "forty-two million, eight hundred thirty-eight thousand, two hundred seventy-two".