55284642 has 72 divisors (see below), whose sum is σ = 146718000. Its totient is φ = 14959728.

The previous prime is 55284637. The next prime is 55284679. The reversal of 55284642 is 24648255.

It is a happy number.

55284642 is a `hidden beast` number, since 5 + 5 + 2 + 8 + 4 + 642 = 666.

55284642 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 55284597 and 55284606.

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 35 ways as a sum of consecutive naturals, for example, 15109 + ... + 18407.

It is an arithmetic number, because the mean of its divisors is an integer number (2037750).

Almost surely, 2^55284642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55284642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73359000).

55284642 is an abundant number, since it is smaller than the sum of its proper divisors (91433358).

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

55284642 is a wasteful number, since it uses less digits than its factorization.

55284642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3340 (or 3330 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 55284642 is about 7435.3642815937. The cubic root of 55284642 is about 380.9501660491.

The spelling of 55284642 in words is "fifty-five million, two hundred eighty-four thousand, six hundred forty-two".