Base | Representation |
---|---|
bin | 11001011100001… |
… | …001010000101000 |
3 | 1002202010010000001 |
4 | 121130021100220 |
5 | 1333230331420 |
6 | 110203552344 |
7 | 13401545146 |
oct | 3134112050 |
9 | 1082103001 |
10 | 426808360 |
11 | 1a9a16490 |
12 | bab2b6b4 |
13 | 6a569934 |
14 | 40982596 |
15 | 2770bb0a |
hex | 19709428 |
426808360 has 128 divisors (see below), whose sum is σ = 1094083200. Its totient is φ = 148480000.
The previous prime is 426808337. The next prime is 426808367. The reversal of 426808360 is 63808624.
426808360 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.
It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.
It is not an unprimeable number, because it can be changed into a prime (426808367) 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 31 ways as a sum of consecutive naturals, for example, 1064160 + ... + 1064560.
It is an arithmetic number, because the mean of its divisors is an integer number (8547525).
Almost surely, 2426808360 is an apocalyptic number.
426808360 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 426808360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547041600).
426808360 is an abundant number, since it is smaller than the sum of its proper divisors (667274840).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
426808360 is a wasteful number, since it uses less digits than its factorization.
426808360 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 523 (or 519 counting only the distinct ones).
The product of its (nonzero) digits is 55296, while the sum is 37.
The square root of 426808360 is about 20659.3407445639. The cubic root of 426808360 is about 752.9121504637.
It can be divided in two parts, 42680 and 8360, that added together give a triangular number (51040 = T319).
The spelling of 426808360 in words is "four hundred twenty-six million, eight hundred eight thousand, three hundred sixty".
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