29982976 has 36 divisors (see below), whose sum is σ = 60283692. Its totient is φ = 14882816.

The previous prime is 29982971. The next prime is 29983021. The reversal of 29982976 is 67928992.

It can be written as a sum of positive squares in 2 ways, for example, as 28901376 + 1081600 = 5376^2 + 1040^2 .

It is not an unprimeable number, because it can be changed into a prime (29982971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 43950 + ... + 44626.

It is an arithmetic number, because the mean of its divisors is an integer number (1674547).

Almost surely, 2^29982976 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 29982976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30141846).

29982976 is an abundant number, since it is smaller than the sum of its proper divisors (30300716).

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

29982976 is an equidigital number, since it uses as much as digits as its factorization.

29982976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 852 counting only the distinct ones).

The product of its digits is 979776, while the sum is 52.

The square root of 29982976 is about 5475.6712830483. The cubic root of 29982976 is about 310.6644644452.

The spelling of 29982976 in words is "twenty-nine million, nine hundred eighty-two thousand, nine hundred seventy-six".