29842752 has 112 divisors (see below), whose sum is σ = 86026752. Its totient is φ = 9093120.

The previous prime is 29842741. The next prime is 29842759. The reversal of 29842752 is 25724892.

It is a self number, because there is not a number n which added to its sum of digits gives 29842752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29842759) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133713 + ... + 133935.

It is an arithmetic number, because the mean of its divisors is an integer number (768096).

Almost surely, 2^29842752 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 29842752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43013376).

29842752 is an abundant number, since it is smaller than the sum of its proper divisors (56184000).

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

29842752 is a wasteful number, since it uses less digits than its factorization.

29842752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 286 counting only the distinct ones).

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

The square root of 29842752 is about 5462.8520023885. The cubic root of 29842752 is about 310.1794036128.

The spelling of 29842752 in words is "twenty-nine million, eight hundred forty-two thousand, seven hundred fifty-two".