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820041882 = 231112424877
BaseRepresentation
bin110000111000001…
…101100010011010
32010011001102222120
4300320031202122
53134412320012
6213212202110
726215145442
oct6070154232
92104042876
10820041882
1139098a670
121aa769336
13100b7c3aa
147aca5122
154bed558c
hex30e0d89a

820041882 has 16 divisors (see below), whose sum is σ = 1789182432. Its totient is φ = 248497520.

The previous prime is 820041857. The next prime is 820041889. The reversal of 820041882 is 288140028.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (820041889) 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 7 ways as a sum of consecutive naturals, for example, 6212373 + ... + 6212504.

It is an arithmetic number, because the mean of its divisors is an integer number (111823902).

Almost surely, 2820041882 is an apocalyptic number.

820041882 is an abundant number, since it is smaller than the sum of its proper divisors (969140550).

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

820041882 is a wasteful number, since it uses less digits than its factorization.

820041882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12424893.

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 820041882 is about 28636.3734086563. The cubic root of 820041882 is about 936.0060974656.

It can be divided in two parts, 8200418 and 82, that multiplied together give a palindrome (672434276).

The spelling of 820041882 in words is "eight hundred twenty million, forty-one thousand, eight hundred eighty-two".

Divisors: 1 2 3 6 11 22 33 66 12424877 24849754 37274631 74549262 136673647 273347294 410020941 820041882