29981952 has 324 divisors, whose sum is σ = 116704224. Its totient is φ = 7188480.

The previous prime is 29981893. The next prime is 29981977. The reversal of 29981952 is 25918992.

Its product of digits (116640) is a multiple of the sum of its prime divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 29981898 and 29981907.

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 35 ways as a sum of consecutive naturals, for example, 2306298 + ... + 2306310.

Almost surely, 2^29981952 is an apocalyptic number.

29981952 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 29981952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58352112).

29981952 is an abundant number, since it is smaller than the sum of its proper divisors (86722272).

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

29981952 is a wasteful number, since it uses less digits than its factorization.

29981952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 36 counting only the distinct ones).

The product of its digits is 116640, while the sum is 45.

The square root of 29981952 is about 5475.5777777327. The cubic root of 29981952 is about 310.6609277267.

It can be divided in two parts, 2998 and 1952, that added together give a triangular number (4950 = T₉₉).

The spelling of 29981952 in words is "twenty-nine million, nine hundred eighty-one thousand, nine hundred fifty-two".