Base | Representation |
---|---|
bin | 11001100001110… |
… | …001000100000000 |
3 | 1002211212222121110 |
4 | 121201301010000 |
5 | 1334120011422 |
6 | 110255323320 |
7 | 13420223616 |
oct | 3141610400 |
9 | 1084788543 |
10 | 428282112 |
11 | 1aa832765 |
12 | bb520540 |
13 | 6a96468b |
14 | 40c476b6 |
15 | 278ed60c |
hex | 19871100 |
428282112 has 72 divisors (see below), whose sum is σ = 1176689920. Its totient is φ = 138147840.
The previous prime is 428282111. The next prime is 428282119. The reversal of 428282112 is 211282824.
It is a nude number because it is divisible by every one of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 428282112.
It is not an unprimeable number, because it can be changed into a prime (428282111) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14814 + ... + 32802.
Almost surely, 2428282112 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 428282112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588344960).
428282112 is an abundant number, since it is smaller than the sum of its proper divisors (748407808).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
428282112 is a wasteful number, since it uses less digits than its factorization.
428282112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 18039 (or 18025 counting only the distinct ones).
The product of its digits is 4096, while the sum is 30.
The square root of 428282112 is about 20694.9779415200. The cubic root of 428282112 is about 753.7777466691. Note that the first 4 decimals are identical.
The spelling of 428282112 in words is "four hundred twenty-eight million, two hundred eighty-two thousand, one hundred twelve".
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