52082784 has 96 divisors (see below), whose sum is σ = 163628640. Its totient is φ = 16022016.

The previous prime is 52082777. The next prime is 52082839. The reversal of 52082784 is 48728025.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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, 8914 + ... + 13550.

It is an arithmetic number, because the mean of its divisors is an integer number (1704465).

Almost surely, 2^52082784 is an apocalyptic number.

52082784 is a gapful number since it is divisible by the number (54) 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 52082784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81814320).

52082784 is an abundant number, since it is smaller than the sum of its proper divisors (111545856).

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

52082784 is a wasteful number, since it uses less digits than its factorization.

52082784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4669 (or 4655 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 52082784 is about 7216.8403058402. The cubic root of 52082784 is about 373.4490825898.

The spelling of 52082784 in words is "fifty-two million, eighty-two thousand, seven hundred eighty-four".