55756242 has 32 divisors (see below), whose sum is σ = 125141760. Its totient is φ = 18399600.

The previous prime is 55756237. The next prime is 55756249. The reversal of 55756242 is 24265755.

55756242 is a `hidden beast` number, since 5 + 57 + 562 + 42 = 666.

55756242 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 = 55756197 and 55756206.

It is not an unprimeable number, because it can be changed into a prime (55756249) 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 15 ways as a sum of consecutive naturals, for example, 343 + ... + 10565.

It is an arithmetic number, because the mean of its divisors is an integer number (3910680).

Almost surely, 2^55756242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55756242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62570880).

55756242 is an abundant number, since it is smaller than the sum of its proper divisors (69385518).

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

55756242 is a wasteful number, since it uses less digits than its factorization.

55756242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10335 (or 10329 counting only the distinct ones).

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

The square root of 55756242 is about 7467.0102450713. The cubic root of 55756242 is about 382.0303193135.

The spelling of 55756242 in words is "fifty-five million, seven hundred fifty-six thousand, two hundred forty-two".