42829752 has 128 divisors (see below), whose sum is σ = 129600000. Its totient is φ = 11536896.

The previous prime is 42829729. The next prime is 42829793. The reversal of 42829752 is 25792824.

42829752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 42829752.

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 31 ways as a sum of consecutive naturals, for example, 287374 + ... + 287522.

It is an arithmetic number, because the mean of its divisors is an integer number (1012500).

Almost surely, 2^42829752 is an apocalyptic number.

42829752 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 42829752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64800000).

42829752 is an abundant number, since it is smaller than the sum of its proper divisors (86770248).

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

42829752 is a wasteful number, since it uses less digits than its factorization.

42829752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 249 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The square root of 42829752 is about 6544.4443614412. Note that the first 3 decimals coincide. The cubic root of 42829752 is about 349.8768328523.

The spelling of 42829752 in words is "forty-two million, eight hundred twenty-nine thousand, seven hundred fifty-two".