29905050 has 96 divisors (see below), whose sum is σ = 89280000. Its totient is φ = 6471360.

The previous prime is 29905039. The next prime is 29905087. The reversal of 29905050 is 5050992.

It is a super-3 number, since 3×29905050³ (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 29904999 and 29905017.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19201 + ... + 20699.

It is an arithmetic number, because the mean of its divisors is an integer number (930000).

Almost surely, 2^29905050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29905050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44640000).

29905050 is an abundant number, since it is smaller than the sum of its proper divisors (59374950).

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

29905050 is a wasteful number, since it uses less digits than its factorization.

29905050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1540 (or 1535 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 30.

The square root of 29905050 is about 5468.5509963792. The cubic root of 29905050 is about 310.3950911139.

The spelling of 29905050 in words is "twenty-nine million, nine hundred five thousand, fifty".