29472642 has 48 divisors (see below), whose sum is σ = 66718080. Its totient is φ = 9391200.

The previous prime is 29472631. The next prime is 29472643. The reversal of 29472642 is 24627492.

29472642 is a `hidden beast` number, since 2 + 9 + 4 + 7 + 2 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 29472597 and 29472606.

It is not an unprimeable number, because it can be changed into a prime (29472643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68167 + ... + 68597.

It is an arithmetic number, because the mean of its divisors is an integer number (1389960).

Almost surely, 2^29472642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29472642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33359040).

29472642 is an abundant number, since it is smaller than the sum of its proper divisors (37245438).

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

29472642 is a wasteful number, since it uses less digits than its factorization.

29472642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 596 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 29472642 is about 5428.8711533799. The cubic root of 29472642 is about 308.8917835149.

The spelling of 29472642 in words is "twenty-nine million, four hundred seventy-two thousand, six hundred forty-two".