55282000 has 80 divisors (see below), whose sum is σ = 135330624. Its totient is φ = 21840000.

The previous prime is 55281983. The next prime is 55282009. The reversal of 55282000 is 28255.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55282009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 261895 + ... + 262105.

Almost surely, 2^55282000 is an apocalyptic number.

55282000 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 55282000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67665312).

55282000 is an abundant number, since it is smaller than the sum of its proper divisors (80048624).

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

55282000 is a wasteful number, since it uses less digits than its factorization.

55282000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 55282000 is about 7435.1866150084. The cubic root of 55282000 is about 380.9440975381.

The spelling of 55282000 in words is "fifty-five million, two hundred eighty-two thousand".