29282742 has 32 divisors (see below), whose sum is σ = 66591360. Its totient is φ = 9533160.

The previous prime is 29282731. The next prime is 29282761. The reversal of 29282742 is 24728292.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 29282697 and 29282706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3984 + ... + 8627.

It is an arithmetic number, because the mean of its divisors is an integer number (2080980).

Almost surely, 2^29282742 is an apocalyptic number.

29282742 is an abundant number, since it is smaller than the sum of its proper divisors (37308618).

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

29282742 is a wasteful number, since it uses less digits than its factorization.

29282742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12665 (or 12659 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 29282742 is about 5411.3530655465. The cubic root of 29282742 is about 308.2269297976.

The spelling of 29282742 in words is "twenty-nine million, two hundred eighty-two thousand, seven hundred forty-two".