| Base | Representation |
|---|---|
| bin | 100110101011111… |
| … | …100111100000000 |
| 3 | 1200020022110110010 |
| 4 | 212223330330000 |
| 5 | 2312124243000 |
| 6 | 144223304520 |
| 7 | 22040612355 |
| oct | 4653747400 |
| 9 | 1606273403 |
| 10 | 649056000 |
| 11 | 30341441a |
| 12 | 16144b140 |
| 13 | a4613408 |
| 14 | 622b662c |
| 15 | 3beacd50 |
| hex | 26afcf00 |
649056000 has 144 divisors (see below), whose sum is σ = 2156158368. Its totient is φ = 173056000.
The previous prime is 649055999. The next prime is 649056007. The reversal of 649056000 is 650946.
649056000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×6490560002 = 842547382272000000, which contains 22 as substring.
It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (30).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (649056007) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92620 + ... + 99380.
It is an arithmetic number, because the mean of its divisors is an integer number (14973322).
Almost surely, 2649056000 is an apocalyptic number.
649056000 is a gapful number since it is divisible by the number (60) 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 649056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1078079184).
649056000 is an abundant number, since it is smaller than the sum of its proper divisors (1507102368).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
649056000 is an equidigital number, since it uses as much as digits as its factorization.
649056000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6795 (or 6771 counting only the distinct ones).
The product of its (nonzero) digits is 6480, while the sum is 30.
The square root of 649056000 is about 25476.5774781465. The cubic root of 649056000 is about 865.8195535972.
The spelling of 649056000 in words is "six hundred forty-nine million, fifty-six thousand".
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