29813144 has 32 divisors (see below), whose sum is σ = 57177120. Its totient is φ = 14570496.

The previous prime is 29813117. The next prime is 29813153. The reversal of 29813144 is 44131892.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 29813144.

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, 79742 + ... + 80114.

It is an arithmetic number, because the mean of its divisors is an integer number (1786785).

Almost surely, 2^29813144 is an apocalyptic number.

It is an amenable number.

29813144 is a deficient number, since it is larger than the sum of its proper divisors (27363976).

29813144 is a wasteful number, since it uses less digits than its factorization.

29813144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 575 counting only the distinct ones).

The product of its digits is 6912, while the sum is 32.

The square root of 29813144 is about 5460.1413901107. The cubic root of 29813144 is about 310.0767898565.

The spelling of 29813144 in words is "twenty-nine million, eight hundred thirteen thousand, one hundred forty-four".