82446282 has 64 divisors (see below), whose sum is σ = 194918400. Its totient is φ = 25758000.

The previous prime is 82446281. The next prime is 82446313. The reversal of 82446282 is 28264428.

It is a happy number.

82446282 is a `hidden beast` number, since 8 + 24 + 4 + 628 + 2 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (82446281) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 109407 + ... + 110157.

It is an arithmetic number, because the mean of its divisors is an integer number (3045600).

Almost surely, 2^82446282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82446282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97459200).

82446282 is an abundant number, since it is smaller than the sum of its proper divisors (112472118).

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

82446282 is a wasteful number, since it uses less digits than its factorization.

82446282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 882 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 82446282 is about 9079.9935022003. The cubic root of 82446282 is about 435.2348790990.

It can be divided in two parts, 82446 and 282, that added together give a palindrome (82728).

The spelling of 82446282 in words is "eighty-two million, four hundred forty-six thousand, two hundred eighty-two".