42884772 has 48 divisors (see below), whose sum is σ = 115756032. Its totient is φ = 12103200.

The previous prime is 42884759. The next prime is 42884773. The reversal of 42884772 is 27748824.

42884772 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 (42).

It is not an unprimeable number, because it can be changed into a prime (42884773) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3897 + ... + 10047.

It is an arithmetic number, because the mean of its divisors is an integer number (2411584).

Almost surely, 2^42884772 is an apocalyptic number.

42884772 is a gapful number since it is divisible by the number (42) 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 42884772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57878016).

42884772 is an abundant number, since it is smaller than the sum of its proper divisors (72871260).

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

42884772 is a wasteful number, since it uses less digits than its factorization.

42884772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6248 (or 6246 counting only the distinct ones).

The product of its digits is 200704, while the sum is 42.

The square root of 42884772 is about 6548.6465777289. The cubic root of 42884772 is about 350.0265884563.

The spelling of 42884772 in words is "forty-two million, eight hundred eighty-four thousand, seven hundred seventy-two".