55256742 has 36 divisors (see below), whose sum is σ = 124350876. Its totient is φ = 18414540.

The previous prime is 55256737. The next prime is 55256743. The reversal of 55256742 is 24765255.

55256742 is a `hidden beast` number, since 5 + 52 + 567 + 42 = 666.

55256742 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 = 55256697 and 55256706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55256743) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 11017 + ... + 15227.

It is an arithmetic number, because the mean of its divisors is an integer number (3454191).

Almost surely, 2^55256742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55256742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62175438).

55256742 is an abundant number, since it is smaller than the sum of its proper divisors (69094134).

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

55256742 is an frugal number, since it uses more digits than its factorization.

55256742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4237 (or 4216 counting only the distinct ones).

The product of its digits is 84000, while the sum is 36.

The square root of 55256742 is about 7433.4878758225. The cubic root of 55256742 is about 380.8860717083.

The spelling of 55256742 in words is "fifty-five million, two hundred fifty-six thousand, seven hundred forty-two".