Base | Representation |
---|---|
bin | 11001011100011… |
… | …010111010000000 |
3 | 1002202020210011002 |
4 | 121130122322000 |
5 | 1333240140030 |
6 | 110205311132 |
7 | 13402265654 |
oct | 3134327200 |
9 | 1082223132 |
10 | 426880640 |
11 | 1a9a6581a |
12 | bab654a8 |
13 | 6a5937c4 |
14 | 409a0a64 |
15 | 27723245 |
hex | 1971ae80 |
426880640 has 64 divisors (see below), whose sum is σ = 1034604360. Its totient is φ = 168394752.
The previous prime is 426880639. The next prime is 426880697. The reversal of 426880640 is 46088624.
It is a happy number.
It can be written as a sum of positive squares in 4 ways, for example, as 219750976 + 207129664 = 14824^2 + 14392^2 .
It is a tau number, because it is divible by the number of its divisors (64).
It is a super-3 number, since 3×4268806403 (a number of 27 digits) contains 333 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 426880594 and 426880603.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42152 + ... + 51288.
Almost surely, 2426880640 is an apocalyptic number.
426880640 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 426880640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517302180).
426880640 is an abundant number, since it is smaller than the sum of its proper divisors (607723720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
426880640 is an equidigital number, since it uses as much as digits as its factorization.
426880640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9229 (or 9217 counting only the distinct ones).
The product of its (nonzero) digits is 73728, while the sum is 38.
The square root of 426880640 is about 20661.0900002880. The cubic root of 426880640 is about 752.9546499580.
The spelling of 426880640 in words is "four hundred twenty-six million, eight hundred eighty thousand, six hundred forty".
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