| Base | Representation |
|---|---|
| bin | 1111001011101… |
| … | …1001110000000 |
| 3 | 11102211100110200 |
| 4 | 3302323032000 |
| 5 | 112300301113 |
| 6 | 10152525200 |
| 7 | 1402166040 |
| oct | 362731600 |
| 9 | 142740420 |
| 10 | 63681408 |
| 11 | 32a4586a |
| 12 | 193b0800 |
| 13 | 1026880b |
| 14 | 8659720 |
| 15 | 58cd873 |
| hex | 3cbb380 |
63681408 has 192 divisors, whose sum is σ = 214812000. Its totient is φ = 17731584.
The previous prime is 63681389. The next prime is 63681413. The reversal of 63681408 is 80418636.
It is a happy number.
63681408 is a `hidden beast` number, since 636 + 8 + 14 + 0 + 8 = 666.
63681408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (192).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is an unprimeable number.
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 23 ways as a sum of consecutive naturals, for example, 427318 + ... + 427466.
Almost surely, 263681408 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 63681408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107406000).
63681408 is an abundant number, since it is smaller than the sum of its proper divisors (151130592).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
63681408 is a wasteful number, since it uses less digits than its factorization.
With its successor (63681409) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (229).
63681408 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 229 (or 214 counting only the distinct ones).
The product of its (nonzero) digits is 27648, while the sum is 36.
The square root of 63681408 is about 7980.0631576448. The cubic root of 63681408 is about 399.3351622558.
It can be divided in two parts, 6368 and 1408, that added together give a 5-th power (7776 = 65).
The spelling of 63681408 in words is "sixty-three million, six hundred eighty-one thousand, four hundred eight".
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