33993050 has 96 divisors (see below), whose sum is σ = 80661504. Its totient is φ = 10368000.

The previous prime is 33993049. The next prime is 33993083. The reversal of 33993050 is 5039933.

It is a junction number, because it is equal to n+sod(n) for n = 33992998 and 33993016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140930 + ... + 141170.

It is an arithmetic number, because the mean of its divisors is an integer number (840224).

Almost surely, 2^33993050 is an apocalyptic number.

33993050 is an abundant number, since it is smaller than the sum of its proper divisors (46668454).

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

33993050 is a wasteful number, since it uses less digits than its factorization.

33993050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 10935, while the sum is 32.

The square root of 33993050 is about 5830.3559068036. The cubic root of 33993050 is about 323.9391047980.

The spelling of 33993050 in words is "thirty-three million, nine hundred ninety-three thousand, fifty".