55405252 has 48 divisors (see below), whose sum is σ = 116444160. Its totient is φ = 22552992.

The previous prime is 55405249. The next prime is 55405279. The reversal of 55405252 is 25250455.

55405252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 55405252.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145999 + ... + 146377.

It is an arithmetic number, because the mean of its divisors is an integer number (2425920).

Almost surely, 2^55405252 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 55405252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58222080).

55405252 is an abundant number, since it is smaller than the sum of its proper divisors (61038908).

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

55405252 is a wasteful number, since it uses less digits than its factorization.

55405252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 10000, while the sum is 28.

The square root of 55405252 is about 7443.4704271596. The cubic root of 55405252 is about 381.2269941506.

The spelling of 55405252 in words is "fifty-five million, four hundred five thousand, two hundred fifty-two".