53382000 has 320 divisors, whose sum is σ = 207986688. Its totient is φ = 11520000.

The previous prime is 53381957. The next prime is 53382013. The reversal of 53382000 is 28335.

53382000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 1301980 + ... + 1302020.

Almost surely, 2^53382000 is an apocalyptic number.

53382000 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 53382000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103993344).

53382000 is an abundant number, since it is smaller than the sum of its proper divisors (154604688).

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

53382000 is a wasteful number, since it uses less digits than its factorization.

53382000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 53382000 is about 7306.2986525326. The cubic root of 53382000 is about 376.5288694620.

The spelling of 53382000 in words is "fifty-three million, three hundred eighty-two thousand".