Base | Representation |
---|---|
bin | 1010000001001… |
… | …1011110101011 |
3 | 2221001222111000 |
4 | 2200103132223 |
5 | 41224212302 |
6 | 4100410043 |
7 | 1020121350 |
oct | 240233653 |
9 | 87058430 |
10 | 42022827 |
11 | 217a2410 |
12 | 120a6923 |
13 | 89244a2 |
14 | 581c627 |
15 | 3a5131c |
hex | 28137ab |
42022827 has 128 divisors (see below), whose sum is σ = 87091200. Its totient is φ = 19353600.
The previous prime is 42022823. The next prime is 42022829. The reversal of 42022827 is 72822024.
42022827 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is not a de Polignac number, because 42022827 - 22 = 42022823 is a prime.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a self number, because there is not a number n which added to its sum of digits gives 42022827.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (42022823) 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 127 ways as a sum of consecutive naturals, for example, 1024927 + ... + 1024967.
It is an arithmetic number, because the mean of its divisors is an integer number (680400).
Almost surely, 242022827 is an apocalyptic number.
42022827 is an abundant number, since it is smaller than the sum of its proper divisors (45068373).
42022827 is a wasteful number, since it uses less digits than its factorization.
42022827 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 114 (or 108 counting only the distinct ones).
The product of its (nonzero) digits is 3584, while the sum is 27.
The square root of 42022827 is about 6482.5016004626. The cubic root of 42022827 is about 347.6656270993.
It can be divided in two parts, 42022 and 827, that added together give a square (42849 = 2072).
The spelling of 42022827 in words is "forty-two million, twenty-two thousand, eight hundred twenty-seven".
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