29849952 has 96 divisors (see below), whose sum is σ = 89268480. Its totient is φ = 8645120.

The previous prime is 29849951. The next prime is 29849957. The reversal of 29849952 is 25994892.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29849951) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 23674 + ... + 24902.

It is an arithmetic number, because the mean of its divisors is an integer number (929880).

Almost surely, 2^29849952 is an apocalyptic number.

29849952 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29849952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44634240).

29849952 is an abundant number, since it is smaller than the sum of its proper divisors (59418528).

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

29849952 is a wasteful number, since it uses less digits than its factorization.

29849952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276 (or 1268 counting only the distinct ones).

The product of its digits is 466560, while the sum is 48.

The square root of 29849952 is about 5463.5109590812. The cubic root of 29849952 is about 310.2043467115.

The spelling of 29849952 in words is "twenty-nine million, eight hundred forty-nine thousand, nine hundred fifty-two".