82200048 has 60 divisors (see below), whose sum is σ = 247026600. Its totient is φ = 23485056.

The previous prime is 82199993. The next prime is 82200059. The reversal of 82200048 is 84000228.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 11 ways as a sum of consecutive naturals, for example, 15123 + ... + 19826.

It is an arithmetic number, because the mean of its divisors is an integer number (4117110).

Almost surely, 2^82200048 is an apocalyptic number.

It is an amenable number.

82200048 is an abundant number, since it is smaller than the sum of its proper divisors (164826552).

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

82200048 is a wasteful number, since it uses less digits than its factorization.

82200048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34974 (or 34961 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 82200048 is about 9066.4242124445. The cubic root of 82200048 is about 434.8011563125.

The spelling of 82200048 in words is "eighty-two million, two hundred thousand, forty-eight".