Base | Representation |
---|---|
bin | 11001011110100… |
… | …011100001001000 |
3 | 1002210022012201112 |
4 | 121132203201020 |
5 | 1333411041300 |
6 | 110225305452 |
7 | 13410116225 |
oct | 3136434110 |
9 | 1083265645 |
10 | 427440200 |
11 | 1aa308170 |
12 | bb195288 |
13 | 6a72b3c5 |
14 | 40aa894c |
15 | 277d3e35 |
hex | 197a3848 |
427440200 has 96 divisors (see below), whose sum is σ = 1095867360. Its totient is φ = 153753600.
The previous prime is 427440187. The next prime is 427440203. The reversal of 427440200 is 2044724.
It is not an unprimeable number, because it can be changed into a prime (427440203) by changing a digit.
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 23 ways as a sum of consecutive naturals, for example, 212399 + ... + 214401.
It is an arithmetic number, because the mean of its divisors is an integer number (11415285).
Almost surely, 2427440200 is an apocalyptic number.
427440200 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 427440200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547933680).
427440200 is an abundant number, since it is smaller than the sum of its proper divisors (668427160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
427440200 is a wasteful number, since it uses less digits than its factorization.
427440200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2127 (or 2118 counting only the distinct ones).
The product of its (nonzero) digits is 1792, while the sum is 23.
The square root of 427440200 is about 20674.6269615681. The cubic root of 427440200 is about 753.2835001538.
Adding to 427440200 its reverse (2044724), we get a palindrome (429484924).
The spelling of 427440200 in words is "four hundred twenty-seven million, four hundred forty thousand, two hundred".
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