Base | Representation |
---|---|
bin | 11001010011100… |
… | …101010000000000 |
3 | 1002120220001220221 |
4 | 121103211100000 |
5 | 1332142014322 |
6 | 110043512424 |
7 | 13343506036 |
oct | 3123452000 |
9 | 1076801827 |
10 | 424563712 |
11 | 1a8723001 |
12 | ba228714 |
13 | 69c62041 |
14 | 4055a556 |
15 | 274169c7 |
hex | 194e5400 |
424563712 has 88 divisors (see below), whose sum is σ = 930729960. Its totient is φ = 192905216.
The previous prime is 424563709. The next prime is 424563719. The reversal of 424563712 is 217365424.
It can be written as a sum of positive squares in 4 ways, for example, as 14258176 + 410305536 = 3776^2 + 20256^2 .
It is a Harshad number since it is a multiple of its sum of digits (34).
Its product of digits (40320) is a multiple of the sum of its prime divisors (48).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (424563719) 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, 14640114 + ... + 14640142.
Almost surely, 2424563712 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 424563712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465364980).
424563712 is an abundant number, since it is smaller than the sum of its proper divisors (506166248).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
424563712 is an frugal number, since it uses more digits than its factorization.
424563712 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 124 (or 48 counting only the distinct ones).
The product of its digits is 40320, while the sum is 34.
The square root of 424563712 is about 20604.9438727700. The cubic root of 424563712 is about 751.5899378964.
424563712 divided by its sum of digits (34) gives a cube (12487168 = 2323).
The spelling of 424563712 in words is "four hundred twenty-four million, five hundred sixty-three thousand, seven hundred twelve".
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