| Base | Representation |
|---|---|
| bin | 100110001101111… |
| … | …100000011010000 |
| 3 | 1122200111201122111 |
| 4 | 212031330003100 |
| 5 | 2303121004143 |
| 6 | 143342515104 |
| 7 | 21614002624 |
| oct | 4615740320 |
| 9 | 1580451574 |
| 10 | 641188048 |
| 11 | 2a9a30086 |
| 12 | 15a895a94 |
| 13 | a2aba117 |
| 14 | 61229184 |
| 15 | 3b45699d |
| hex | 2637c0d0 |
641188048 has 40 divisors (see below), whose sum is σ = 1320216840. Its totient is φ = 300625920.
The previous prime is 641188039. The next prime is 641188049. The reversal of 641188048 is 840881146.
It is a happy number.
It can be written as a sum of positive squares in 4 ways, for example, as 353139264 + 288048784 = 18792^2 + 16972^2 .
It is a super-2 number, since 2×6411880482 = 822244225796100608, which contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 641188048.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (641188049) 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 7 ways as a sum of consecutive naturals, for example, 72238 + ... + 80626.
It is an arithmetic number, because the mean of its divisors is an integer number (33005421).
Almost surely, 2641188048 is an apocalyptic number.
641188048 is a gapful number since it is divisible by the number (68) 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 641188048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660108420).
641188048 is an abundant number, since it is smaller than the sum of its proper divisors (679028792).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
641188048 is a wasteful number, since it uses less digits than its factorization.
641188048 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8695 (or 8689 counting only the distinct ones).
The product of its (nonzero) digits is 49152, while the sum is 40.
The square root of 641188048 is about 25321.6912547326. The cubic root of 641188048 is about 862.3067905246.
The spelling of 641188048 in words is "six hundred forty-one million, one hundred eighty-eight thousand, forty-eight".
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