Base | Representation |
---|---|
bin | 11001100000000… |
… | …000110000000000 |
3 | 1002211000121120020 |
4 | 121200000300000 |
5 | 1334010301310 |
6 | 110241413440 |
7 | 13413266460 |
oct | 3140006000 |
9 | 1084017506 |
10 | 427822080 |
11 | 1aa549074 |
12 | bb33a280 |
13 | 6a83317a |
14 | 40b67ba0 |
15 | 2785c170 |
hex | 19800c00 |
427822080 has 352 divisors, whose sum is σ = 1641268224. Its totient is φ = 92995584.
The previous prime is 427822067. The next prime is 427822081. The reversal of 427822080 is 80228724.
It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.
It is a zygodrome in base 2.
It is not an unprimeable number, because it can be changed into a prime (427822081) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2472874 + ... + 2473046.
Almost surely, 2427822080 is an apocalyptic number.
427822080 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 427822080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820634112).
427822080 is an abundant number, since it is smaller than the sum of its proper divisors (1213446144).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
427822080 is a wasteful number, since it uses less digits than its factorization.
427822080 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 231 (or 213 counting only the distinct ones).
The product of its (nonzero) digits is 14336, while the sum is 33.
The square root of 427822080 is about 20683.8603746979. The cubic root of 427822080 is about 753.5077641000.
The spelling of 427822080 in words is "four hundred twenty-seven million, eight hundred twenty-two thousand, eighty".
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