Base | Representation |
---|---|
bin | 11001011100000… |
… | …111011111111000 |
3 | 1002202002202002210 |
4 | 121130013133320 |
5 | 1333230114034 |
6 | 110203455120 |
7 | 13401515130 |
oct | 3134073770 |
9 | 1082082083 |
10 | 426801144 |
11 | 1a9a11020 |
12 | bab274a0 |
13 | 6a566573 |
14 | 4097dac0 |
15 | 277098e9 |
hex | 197077f8 |
426801144 has 256 divisors, whose sum is σ = 1405071360. Its totient is φ = 104832000.
The previous prime is 426801139. The next prime is 426801173. The reversal of 426801144 is 441108624.
It is a congruent number.
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 63 ways as a sum of consecutive naturals, for example, 3257959 + ... + 3258089.
It is an arithmetic number, because the mean of its divisors is an integer number (5488560).
Almost surely, 2426801144 is an apocalyptic number.
426801144 is a gapful number since it is divisible by the number (44) 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 426801144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702535680).
426801144 is an abundant number, since it is smaller than the sum of its proper divisors (978270216).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
426801144 is a wasteful number, since it uses less digits than its factorization.
426801144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 242 (or 238 counting only the distinct ones).
The product of its (nonzero) digits is 6144, while the sum is 30.
The square root of 426801144 is about 20659.1661012733. The cubic root of 426801144 is about 752.9079073066.
Adding to 426801144 its reverse (441108624), we get a palindrome (867909768).
The spelling of 426801144 in words is "four hundred twenty-six million, eight hundred one thousand, one hundred forty-four".
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