42822810 has 64 divisors (see below), whose sum is σ = 114912000. Its totient is φ = 11347776.

The previous prime is 42822799. The next prime is 42822817. The reversal of 42822810 is 1822824.

42822810 is a `hidden beast` number, since 428 + 228 + 10 = 666.

42822810 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42822810² = 3667586112592200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (42822817) 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, 53332 + ... + 54128.

It is an arithmetic number, because the mean of its divisors is an integer number (1795500).

Almost surely, 2^42822810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42822810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57456000).

42822810 is an abundant number, since it is smaller than the sum of its proper divisors (72089190).

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

42822810 is a wasteful number, since it uses less digits than its factorization.

42822810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 42822810 is about 6543.9139664271. The cubic root of 42822810 is about 349.8579287331.

The spelling of 42822810 in words is "forty-two million, eight hundred twenty-two thousand, eight hundred ten".