55046200 has 96 divisors (see below), whose sum is σ = 141419520. Its totient is φ = 19760000.

The previous prime is 55046197. The next prime is 55046207. The reversal of 55046200 is 264055.

55046200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×55046200³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55046207) 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 23 ways as a sum of consecutive naturals, for example, 288105 + ... + 288295.

It is an arithmetic number, because the mean of its divisors is an integer number (1473120).

Almost surely, 2^55046200 is an apocalyptic number.

55046200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55046200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70709760).

55046200 is an abundant number, since it is smaller than the sum of its proper divisors (86373320).

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

55046200 is a wasteful number, since it uses less digits than its factorization.

55046200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 55046200 is about 7419.3126366261. The cubic root of 55046200 is about 380.4016989438.

The spelling of 55046200 in words is "fifty-five million, forty-six thousand, two hundred".