Base | Representation |
---|---|
bin | 11001100100010… |
… | …010111101000100 |
3 | 1002220010200020000 |
4 | 121210102331010 |
5 | 1334302221340 |
6 | 110321441300 |
7 | 13425655104 |
oct | 3144227504 |
9 | 1086120200 |
10 | 428945220 |
11 | 200145990 |
12 | bb7a0230 |
13 | 6ab37452 |
14 | 40d7b204 |
15 | 279ced30 |
hex | 19912f44 |
428945220 has 120 divisors (see below), whose sum is σ = 1468006848. Its totient is φ = 103982400.
The previous prime is 428945213. The next prime is 428945269. The reversal of 428945220 is 22549824.
428945220 is a `hidden beast` number, since 42 + 8 + 94 + 522 + 0 = 666.
It is a Harshad number since it is a multiple of its sum of digits (36).
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 39 ways as a sum of consecutive naturals, for example, 5785 + ... + 29855.
Almost surely, 2428945220 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 428945220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734003424).
428945220 is an abundant number, since it is smaller than the sum of its proper divisors (1039061628).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
428945220 is a wasteful number, since it uses less digits than its factorization.
428945220 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 24103 (or 24092 counting only the distinct ones).
The product of its (nonzero) digits is 46080, while the sum is 36.
The square root of 428945220 is about 20710.9927333288. The cubic root of 428945220 is about 754.1665700613.
The spelling of 428945220 in words is "four hundred twenty-eight million, nine hundred forty-five thousand, two hundred twenty".
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