| Base | Representation |
|---|---|
| bin | 1110000101110100… |
| … | …0100111100000000 |
| 3 | 100202121102201001110 |
| 4 | 3201131010330000 |
| 5 | 30221304333000 |
| 6 | 1423200003320 |
| 7 | 162506454063 |
| oct | 34135047400 |
| 9 | 10677381043 |
| 10 | 3782496000 |
| 11 | 1671136258 |
| 12 | 896900540 |
| 13 | 48384911a |
| 14 | 27c4d68da |
| 15 | 17210e850 |
| hex | e1744f00 |
3782496000 has 432 divisors, whose sum is σ = 13298541984. Its totient is φ = 952320000.
The previous prime is 3782495999. The next prime is 3782496001. The reversal of 3782496000 is 6942873.
It is an interprime number because it is at equal distance from previous prime (3782495999) and next prime (3782496001).
It is a self number, because there is not a number n which added to its sum of digits gives 3782496000.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (3782496001) 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 47 ways as a sum of consecutive naturals, for example, 92255980 + ... + 92256020.
It is an arithmetic number, because the mean of its divisors is an integer number (30783662).
Almost surely, 23782496000 is an apocalyptic number.
3782496000 is a gapful number since it is divisible by the number (30) 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 3782496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6649270992).
3782496000 is an abundant number, since it is smaller than the sum of its proper divisors (9516045984).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3782496000 is an equidigital number, since it uses as much as digits as its factorization.
3782496000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 137 (or 82 counting only the distinct ones).
The product of its (nonzero) digits is 72576, while the sum is 39.
The square root of 3782496000 is about 61501.9999674807. Note that the first 4 decimals coincide. The cubic root of 3782496000 is about 1558.0910245672.
The spelling of 3782496000 in words is "three billion, seven hundred eighty-two million, four hundred ninety-six thousand".
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