Base | Representation |
---|---|
bin | 10111001000000… |
… | …010101010101000 |
3 | 1000001001122001021 |
4 | 113020002222220 |
5 | 1243310442130 |
6 | 102255502224 |
7 | 12420544543 |
oct | 2710025250 |
9 | 1001048037 |
10 | 387984040 |
11 | 18a009174 |
12 | a9b27974 |
13 | 624c5272 |
14 | 3975785a |
15 | 240dd37a |
hex | 17202aa8 |
387984040 has 64 divisors (see below), whose sum is σ = 908269200. Its totient is φ = 148979712.
The previous prime is 387984017. The next prime is 387984041. The reversal of 387984040 is 40489783.
It can be written as a sum of positive squares in 8 ways, for example, as 110628324 + 277355716 = 10518^2 + 16654^2 .
It is not an unprimeable number, because it can be changed into a prime (387984041) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223014 + ... + 224746.
Almost surely, 2387984040 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 387984040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454134600).
387984040 is an abundant number, since it is smaller than the sum of its proper divisors (520285160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
387984040 is a wasteful number, since it uses less digits than its factorization.
387984040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1966 (or 1962 counting only the distinct ones).
The product of its (nonzero) digits is 193536, while the sum is 43.
The square root of 387984040 is about 19697.3104763061. The cubic root of 387984040 is about 729.3533022914.
The spelling of 387984040 in words is "three hundred eighty-seven million, nine hundred eighty-four thousand, forty".
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