29142912 has 64 divisors (see below), whose sum is σ = 80110800. Its totient is φ = 9375744.

The previous prime is 29142907. The next prime is 29142937. The reversal of 29142912 is 21924192.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 29142912.

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, 9828 + ... + 12444.

Almost surely, 2^29142912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29142912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40055400).

29142912 is an abundant number, since it is smaller than the sum of its proper divisors (50967888).

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

29142912 is a wasteful number, since it uses less digits than its factorization.

29142912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2663 (or 2651 counting only the distinct ones).

The product of its digits is 2592, while the sum is 30.

The square root of 29142912 is about 5398.4175459110. The cubic root of 29142912 is about 307.7355350550.

The spelling of 29142912 in words is "twenty-nine million, one hundred forty-two thousand, nine hundred twelve".