29540742 has 64 divisors (see below), whose sum is σ = 75423744. Its totient is φ = 7489440.

The previous prime is 29540723. The next prime is 29540743. The reversal of 29540742 is 24704592.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29540743) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19123 + ... + 20609.

It is an arithmetic number, because the mean of its divisors is an integer number (1178496).

Almost surely, 2^29540742 is an apocalyptic number.

29540742 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 29540742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37711872).

29540742 is an abundant number, since it is smaller than the sum of its proper divisors (45883002).

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

29540742 is a wasteful number, since it uses less digits than its factorization.

29540742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1553.

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 29540742 is about 5435.1395566259. The cubic root of 29540742 is about 309.1295107551.

The spelling of 29540742 in words is "twenty-nine million, five hundred forty thousand, seven hundred forty-two".