Base | Representation |
---|---|
bin | 1111001101101101… |
… | …1101011101100000 |
3 | 101112121212211220100 |
4 | 3303123131131200 |
5 | 31331004441143 |
6 | 1513131342400 |
7 | 203130645303 |
oct | 36333353540 |
9 | 11477784810 |
10 | 4084062048 |
11 | 180638a2a0 |
12 | 95b8b1a00 |
13 | 501174981 |
14 | 2aa596b3a |
15 | 18d82c6d3 |
hex | f36dd760 |
4084062048 has 144 divisors (see below), whose sum is σ = 13415337936. Its totient is φ = 1164779520.
The previous prime is 4084062043. The next prime is 4084062049. The reversal of 4084062048 is 8402604804.
4084062048 is a `hidden beast` number, since 40 + 8 + 406 + 204 + 8 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (4084062043) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15940 + ... + 91772.
It is an arithmetic number, because the mean of its divisors is an integer number (93162069).
Almost surely, 24084062048 is an apocalyptic number.
4084062048 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 4084062048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6707668968).
4084062048 is an abundant number, since it is smaller than the sum of its proper divisors (9331275888).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4084062048 is a wasteful number, since it uses less digits than its factorization.
4084062048 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 75877 (or 75866 counting only the distinct ones).
The product of its (nonzero) digits is 49152, while the sum is 36.
The square root of 4084062048 is about 63906.6666944850. Note that the first 4 decimals coincide. The cubic root of 4084062048 is about 1598.4440665766. Note that the first 3 decimals are identical.
The spelling of 4084062048 in words is "four billion, eighty-four million, sixty-two thousand, forty-eight".
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