42729984 has 160 divisors (see below), whose sum is σ = 138473280. Its totient is φ = 12902400.

The previous prime is 42729979. The next prime is 42730013. The reversal of 42729984 is 48992724.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151924 + ... + 152204.

It is an arithmetic number, because the mean of its divisors is an integer number (865458).

Almost surely, 2^42729984 is an apocalyptic number.

42729984 is a gapful number since it is divisible by the number (44) 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 42729984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69236640).

42729984 is an abundant number, since it is smaller than the sum of its proper divisors (95743296).

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

42729984 is a wasteful number, since it uses less digits than its factorization.

42729984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 297 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 42729984 is about 6536.8175743247. The cubic root of 42729984 is about 349.6049529152.

The spelling of 42729984 in words is "forty-two million, seven hundred twenty-nine thousand, nine hundred eighty-four".