| Base | Representation |
|---|---|
| bin | 1111000110101100… |
| … | …1101111010100000 |
| 3 | 101110120111222000200 |
| 4 | 3301223031322200 |
| 5 | 31300441410430 |
| 6 | 1510200545200 |
| 7 | 202322566512 |
| oct | 36153157240 |
| 9 | 11416458020 |
| 10 | 4054638240 |
| 11 | 17a08127a4 |
| 12 | 951a82200 |
| 13 | 4c8042033 |
| 14 | 2a66d7bb2 |
| 15 | 18ae69460 |
| hex | f1acdea0 |
4054638240 has 144 divisors (see below), whose sum is σ = 13907661768. Its totient is φ = 1075673088.
The previous prime is 4054638223. The next prime is 4054638271. The reversal of 4054638240 is 428364504.
4054638240 is a `hidden beast` number, since 40 + 546 + 38 + 2 + 40 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 3104272656 + 950365584 = 55716^2 + 30828^2 .
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 junction number, because it is equal to n+sod(n) for n = 4054638195 and 4054638204.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 276534 + ... + 290826.
Almost surely, 24054638240 is an apocalyptic number.
4054638240 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 4054638240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6953830884).
4054638240 is an abundant number, since it is smaller than the sum of its proper divisors (9853023528).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4054638240 is a wasteful number, since it uses less digits than its factorization.
4054638240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 14511 (or 14500 counting only the distinct ones).
The product of its (nonzero) digits is 92160, while the sum is 36.
The square root of 4054638240 is about 63676.0413342412. The cubic root of 4054638240 is about 1594.5961235385.
The spelling of 4054638240 in words is "four billion, fifty-four million, six hundred thirty-eight thousand, two hundred forty".
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