29742816 has 48 divisors (see below), whose sum is σ = 78357888. Its totient is φ = 9878400.

The previous prime is 29742793. The next prime is 29742829. The reversal of 29742816 is 61824792.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 46821 + ... + 47451.

It is an arithmetic number, because the mean of its divisors is an integer number (1632456).

Almost surely, 2^29742816 is an apocalyptic number.

It is an amenable number.

29742816 is an abundant number, since it is smaller than the sum of its proper divisors (48615072).

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

29742816 is a wasteful number, since it uses less digits than its factorization.

29742816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135 (or 1127 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 29742816 is about 5453.6974613559. The cubic root of 29742816 is about 309.8327783525.

The spelling of 29742816 in words is "twenty-nine million, seven hundred forty-two thousand, eight hundred sixteen".