33413952 has 112 divisors (see below), whose sum is σ = 103948992. Its totient is φ = 9338880.

The previous prime is 33413929. The next prime is 33413957. The reversal of 33413952 is 25931433.

It is a super-2 number, since 2×33413952² = 2232984376516608, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33413957) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26848 + ... + 28064.

It is an arithmetic number, because the mean of its divisors is an integer number (928116).

Almost surely, 2^33413952 is an apocalyptic number.

33413952 is a gapful number since it is divisible by the number (32) 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 33413952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51974496).

33413952 is an abundant number, since it is smaller than the sum of its proper divisors (70535040).

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

33413952 is a wasteful number, since it uses less digits than its factorization.

33413952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256 (or 1246 counting only the distinct ones).

The product of its digits is 9720, while the sum is 30.

The square root of 33413952 is about 5780.4802568645. The cubic root of 33413952 is about 322.0890408696.

It can be divided in two parts, 33 and 413952, that multiplied together give a square (13660416 = 3696²).

The spelling of 33413952 in words is "thirty-three million, four hundred thirteen thousand, nine hundred fifty-two".