29429244 has 144 divisors (see below), whose sum is σ = 88609248. Its totient is φ = 8460288.

The previous prime is 29429221. The next prime is 29429269. The reversal of 29429244 is 44292492.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 29429199 and 29429208.

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 47 ways as a sum of consecutive naturals, for example, 214744 + ... + 214880.

It is an arithmetic number, because the mean of its divisors is an integer number (615342).

Almost surely, 2^29429244 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 29429244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44304624).

29429244 is an abundant number, since it is smaller than the sum of its proper divisors (59180004).

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

29429244 is a wasteful number, since it uses less digits than its factorization.

29429244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 172 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 29429244 is about 5424.8727174008. The cubic root of 29429244 is about 308.7400962801.

The spelling of 29429244 in words is "twenty-nine million, four hundred twenty-nine thousand, two hundred forty-four".