Base | Representation |
---|---|
bin | 10111000101111… |
… | …001000101001000 |
3 | 222222222222222222 |
4 | 113011321011020 |
5 | 1243134423423 |
6 | 102235433212 |
7 | 12413006540 |
oct | 2705710510 |
9 | 888888888 |
10 | 387420488 |
11 | 189763824 |
12 | a98b5808 |
13 | 623588c0 |
14 | 3964c320 |
15 | 2402b3c8 |
hex | 17179148 |
387420488 has 128 divisors (see below), whose sum is σ = 967814400. Its totient is φ = 141087744.
The previous prime is 387420479. The next prime is 387420499. The reversal of 387420488 is 884024783.
387420488 is nontrivially palindromic in base 3 and base 9.
It is a Cunningham number, because it is equal to 318-1.
387420488 is a nontrivial repdigit in base 3 and base 9.
It is a plaindrome in base 3 and base 9.
It is a nialpdrome in base 3 and base 9.
It is a zygodrome in base 3 and base 9.
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 31 ways as a sum of consecutive naturals, for example, 511406 + ... + 512162.
It is an arithmetic number, because the mean of its divisors is an integer number (7561050).
Almost surely, 2387420488 is an apocalyptic number.
387420488 is a gapful number since it is divisible by the number (38) 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 387420488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483907200).
387420488 is an abundant number, since it is smaller than the sum of its proper divisors (580393912).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
387420488 is a wasteful number, since it uses less digits than its factorization.
387420488 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 839 (or 835 counting only the distinct ones).
The product of its (nonzero) digits is 344064, while the sum is 44.
The square root of 387420488 is about 19682.9999745974. Note that the first 4 decimals coincide. The cubic root of 387420488 is about 728.9999993728. Note that the first 6 decimals are identical.
The spelling of 387420488 in words is "three hundred eighty-seven million, four hundred twenty thousand, four hundred eighty-eight".
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