29465952 has 48 divisors (see below), whose sum is σ = 77801472. Its totient is φ = 9764480.

The previous prime is 29465929. The next prime is 29465963. The reversal of 29465952 is 25956492.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 17533 + ... + 19139.

It is an arithmetic number, because the mean of its divisors is an integer number (1620864).

Almost surely, 2^29465952 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 29465952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38900736).

29465952 is an abundant number, since it is smaller than the sum of its proper divisors (48335520).

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

29465952 is a wasteful number, since it uses less digits than its factorization.

29465952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1811 (or 1803 counting only the distinct ones).

The product of its digits is 194400, while the sum is 42.

The square root of 29465952 is about 5428.2549682195. The cubic root of 29465952 is about 308.8684099468.

The spelling of 29465952 in words is "twenty-nine million, four hundred sixty-five thousand, nine hundred fifty-two".