Base | Representation |
---|---|
bin | 110001000110110… |
… | …100010111100000 |
3 | 2010102020222110200 |
4 | 301012310113200 |
5 | 3141402332234 |
6 | 213430225200 |
7 | 26262534051 |
oct | 6106642740 |
9 | 2112228420 |
10 | 823870944 |
11 | 393065486 |
12 | 1abab5200 |
13 | 1018c0200 |
14 | 7b5c0728 |
15 | 4c4ded99 |
hex | 311b45e0 |
823870944 has 108 divisors (see below), whose sum is σ = 2537117856. Its totient is φ = 253483776.
The previous prime is 823870939. The next prime is 823870967. The reversal of 823870944 is 449078328.
It is a super-2 number, since 2×8238709442 = 1357526664734902272, which contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 823870944.
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 17 ways as a sum of consecutive naturals, for example, 40209 + ... + 57135.
It is an arithmetic number, because the mean of its divisors is an integer number (23491832).
Almost surely, 2823870944 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 823870944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1268558928).
823870944 is an abundant number, since it is smaller than the sum of its proper divisors (1713246912).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
823870944 is a wasteful number, since it uses less digits than its factorization.
823870944 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 16969 (or 16945 counting only the distinct ones).
The product of its (nonzero) digits is 387072, while the sum is 45.
The square root of 823870944 is about 28703.1521613916. The cubic root of 823870944 is about 937.4606822977.
The spelling of 823870944 in words is "eight hundred twenty-three million, eight hundred seventy thousand, nine hundred forty-four".
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