5509952 has 56 divisors (see below), whose sum is σ = 12801600. Its totient is φ = 2352000.

The previous prime is 5509939. The next prime is 5509979. The reversal of 5509952 is 2599055.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21827 + ... + 22077.

It is an arithmetic number, because the mean of its divisors is an integer number (228600).

Almost surely, 2^5509952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5509952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6400800).

5509952 is an abundant number, since it is smaller than the sum of its proper divisors (7291648).

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

5509952 is an equidigital number, since it uses as much as digits as its factorization.

5509952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 20250, while the sum is 35.

The square root of 5509952 is about 2347.3286944951. The cubic root of 5509952 is about 176.6238193626.

The spelling of 5509952 in words is "five million, five hundred nine thousand, nine hundred fifty-two".