82200042 has 64 divisors (see below), whose sum is σ = 194256000. Its totient is φ = 25691904.

The previous prime is 82199993. The next prime is 82200059. The reversal of 82200042 is 24000228.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 82199988 and 82200024.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115584 + ... + 116292.

It is an arithmetic number, because the mean of its divisors is an integer number (3035250).

Almost surely, 2^82200042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82200042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97128000).

82200042 is an abundant number, since it is smaller than the sum of its proper divisors (112055958).

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

82200042 is a wasteful number, since it uses less digits than its factorization.

82200042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 82200042 is about 9066.4238815533. The cubic root of 82200042 is about 434.8011457334.

The spelling of 82200042 in words is "eighty-two million, two hundred thousand, forty-two".