29513952 has 72 divisors (see below), whose sum is σ = 90397944. Its totient is φ = 9080064.

The previous prime is 29513947. The next prime is 29513963. The reversal of 29513952 is 25931592.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 198 + ... + 7685.

It is an arithmetic number, because the mean of its divisors is an integer number (1255527).

Almost surely, 2^29513952 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 29513952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45198972).

29513952 is an abundant number, since it is smaller than the sum of its proper divisors (60883992).

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

29513952 is a wasteful number, since it uses less digits than its factorization.

29513952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7912 (or 7901 counting only the distinct ones).

The product of its digits is 24300, while the sum is 36.

The square root of 29513952 is about 5432.6744794806. The cubic root of 29513952 is about 309.0360343812.

It can be divided in two parts, 2951 and 3952, that added together give a triangular number (6903 = T₁₁₇).

The spelling of 29513952 in words is "twenty-nine million, five hundred thirteen thousand, nine hundred fifty-two".