29149216 has 48 divisors (see below), whose sum is σ = 59293080. Its totient is φ = 14100480.

The previous prime is 29149199. The next prime is 29149223. The reversal of 29149216 is 61294192.

It can be written as a sum of positive squares in 4 ways, for example, as 21196816 + 7952400 = 4604^2 + 2820^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 212700 + ... + 212836.

Almost surely, 2^29149216 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 29149216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29646540).

29149216 is an abundant number, since it is smaller than the sum of its proper divisors (30143864).

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

29149216 is a wasteful number, since it uses less digits than its factorization.

29149216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 309 counting only the distinct ones).

The product of its digits is 7776, while the sum is 34.

The square root of 29149216 is about 5399.0013891460. The cubic root of 29149216 is about 307.7577225535.

The spelling of 29149216 in words is "twenty-nine million, one hundred forty-nine thousand, two hundred sixteen".