29042000 has 80 divisors (see below), whose sum is σ = 75693072. Its totient is φ = 10713600.

The previous prime is 29041997. The next prime is 29042033. The reversal of 29042000 is 24092.

It can be written as a sum of positive squares in 8 ways, for example, as 22771984 + 6270016 = 4772^2 + 2504^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 29042000.

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, 25442 + ... + 26558.

Almost surely, 2^29042000 is an apocalyptic number.

29042000 is a gapful number since it is divisible by the number (20) 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 29042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37846536).

29042000 is an abundant number, since it is smaller than the sum of its proper divisors (46651072).

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

29042000 is a wasteful number, since it uses less digits than its factorization.

29042000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 29042000 is about 5389.0629983328. The cubic root of 29042000 is about 307.3799297673.

Adding to 29042000 its reverse (24092), we get a palindrome (29066092).

The spelling of 29042000 in words is "twenty-nine million, forty-two thousand".