33425952 has 48 divisors (see below), whose sum is σ = 100279872. Its totient is φ = 9550080.

The previous prime is 33425941. The next prime is 33425957. The reversal of 33425952 is 25952433.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×33425952² = 2234588534212608, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33425957) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 24199 + ... + 25542.

It is an arithmetic number, because the mean of its divisors is an integer number (2089164).

Almost surely, 2^33425952 is an apocalyptic number.

33425952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

33425952 is an abundant number, since it is smaller than the sum of its proper divisors (66853920).

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

33425952 is a wasteful number, since it uses less digits than its factorization.

33425952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49761 (or 49753 counting only the distinct ones).

The product of its digits is 32400, while the sum is 33.

The square root of 33425952 is about 5781.5181397277. The cubic root of 33425952 is about 322.1275936863.

The spelling of 33425952 in words is "thirty-three million, four hundred twenty-five thousand, nine hundred fifty-two".