Base | Representation |
---|---|
bin | 11001001001110… |
… | …110111110000000 |
3 | 1002102002120112120 |
4 | 121021312332000 |
5 | 1331013433343 |
6 | 105513124240 |
7 | 13313031663 |
oct | 3111667600 |
9 | 1072076476 |
10 | 422014848 |
11 | 1a7242002 |
12 | b93b9680 |
13 | 6957bb38 |
14 | 400956da |
15 | 270b1683 |
hex | 19276f80 |
422014848 has 64 divisors (see below), whose sum is σ = 1131563520. Its totient is φ = 139343360.
The previous prime is 422014847. The next prime is 422014861. The reversal of 422014848 is 848410224.
It is a Cunningham number, because it is equal to 205432-1.
It is a tau number, because it is divible by the number of its divisors (64).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (422014847) 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, 35953 + ... + 46223.
It is an arithmetic number, because the mean of its divisors is an integer number (17680680).
Almost surely, 2422014848 is an apocalyptic number.
422014848 is a gapful number since it is divisible by the number (48) 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 422014848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565781760).
422014848 is an abundant number, since it is smaller than the sum of its proper divisors (709548672).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
422014848 is a wasteful number, since it uses less digits than its factorization.
422014848 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 10395 (or 10383 counting only the distinct ones).
The product of its (nonzero) digits is 16384, while the sum is 33.
The square root of 422014848 is about 20542.9999756608. Note that the first 4 decimals coincide. The cubic root of 422014848 is about 750.0828637334.
The spelling of 422014848 in words is "four hundred twenty-two million, fourteen thousand, eight hundred forty-eight".
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