29271942 has 80 divisors (see below), whose sum is σ = 76108032. Its totient is φ = 8236080.

The previous prime is 29271941. The next prime is 29271959. The reversal of 29271942 is 24917292.

It is a junction number, because it is equal to n+sod(n) for n = 29271897 and 29271906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29271941) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 93967 + ... + 94277.

Almost surely, 2^29271942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29271942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38054016).

29271942 is an abundant number, since it is smaller than the sum of its proper divisors (46836090).

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

29271942 is a wasteful number, since it uses less digits than its factorization.

29271942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 406 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 29271942 is about 5410.3550715272. The cubic root of 29271942 is about 308.1890319330.

The spelling of 29271942 in words is "twenty-nine million, two hundred seventy-one thousand, nine hundred forty-two".