Base | Representation |
---|---|
bin | 11001100010111… |
… | …111110110101000 |
3 | 1002212111101022100 |
4 | 121202333312220 |
5 | 1334210323330 |
6 | 110310253400 |
7 | 13423036536 |
oct | 3142776650 |
9 | 1085441270 |
10 | 428604840 |
11 | 1aaa33184 |
12 | bb657260 |
13 | 6aa48541 |
14 | 40ccd156 |
15 | 27964060 |
hex | 198bfda8 |
428604840 has 96 divisors (see below), whose sum is σ = 1396909800. Its totient is φ = 113971200.
The previous prime is 428604821. The next prime is 428604859. The reversal of 428604840 is 48406824.
428604840 is a `hidden beast` number, since 4 + 2 + 8 + 604 + 8 + 40 = 666.
It is an interprime number because it is at equal distance from previous prime (428604821) and next prime (428604859).
It can be written as a sum of positive squares in 4 ways, for example, as 339075396 + 89529444 = 18414^2 + 9462^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 428604795 and 428604804.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142876 + ... + 145844.
Almost surely, 2428604840 is an apocalyptic number.
428604840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 428604840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698454900).
428604840 is an abundant number, since it is smaller than the sum of its proper divisors (968304960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
428604840 is a wasteful number, since it uses less digits than its factorization.
428604840 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3387 (or 3380 counting only the distinct ones).
The product of its (nonzero) digits is 49152, while the sum is 36.
The square root of 428604840 is about 20702.7737272086. The cubic root of 428604840 is about 753.9670332009.
The spelling of 428604840 in words is "four hundred twenty-eight million, six hundred four thousand, eight hundred forty".
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