Base | Representation |
---|---|
bin | 11001100011100… |
… | …001010110000000 |
3 | 1002212202100110221 |
4 | 121203201112000 |
5 | 1334224221031 |
6 | 110313232424 |
7 | 13424150503 |
oct | 3143412600 |
9 | 1085670427 |
10 | 428742016 |
11 | 20001724a |
12 | bb702714 |
13 | 6aa95b01 |
14 | 40d2713a |
15 | 2798ea11 |
hex | 198e1580 |
428742016 has 32 divisors (see below), whose sum is σ = 870264000. Its totient is φ = 210322944.
The previous prime is 428742007. The next prime is 428742019. The reversal of 428742016 is 610247824.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (32).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (428742019) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24816 + ... + 38383.
It is an arithmetic number, because the mean of its divisors is an integer number (27195750).
Almost surely, 2428742016 is an apocalyptic number.
It is an amenable number.
428742016 is an abundant number, since it is smaller than the sum of its proper divisors (441521984).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
428742016 is an equidigital number, since it uses as much as digits as its factorization.
428742016 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 63266 (or 63254 counting only the distinct ones).
The product of its (nonzero) digits is 21504, while the sum is 34.
The square root of 428742016 is about 20706.0864481920. The cubic root of 428742016 is about 754.0474609361.
The spelling of 428742016 in words is "four hundred twenty-eight million, seven hundred forty-two thousand, sixteen".
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