29045264 has 30 divisors (see below), whose sum is σ = 58179870. Its totient is φ = 14046720.

The previous prime is 29045227. The next prime is 29045267. The reversal of 29045264 is 46254092.

It can be written as a sum of positive squares in only one way, i.e., 24601600 + 4443664 = 4960^2 + 2108^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 29045264.

It is not an unprimeable number, because it can be changed into a prime (29045267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14432 + ... + 16320.

It is an arithmetic number, because the mean of its divisors is an integer number (1939329).

Almost surely, 2^29045264 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 29045264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29089935).

29045264 is an abundant number, since it is smaller than the sum of its proper divisors (29134606).

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

29045264 is a wasteful number, since it uses less digits than its factorization.

29045264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1959 (or 1922 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 29045264 is about 5389.3658254010. The cubic root of 29045264 is about 307.3914447055.

It can be divided in two parts, 290 and 45264, that added together give a palindrome (45554).

The spelling of 29045264 in words is "twenty-nine million, forty-five thousand, two hundred sixty-four".