| Base | Representation |
|---|---|
| bin | 1011100111010… |
| … | …1101101100000 |
| 3 | 10101200001200000 |
| 4 | 2321311231200 |
| 5 | 44432413030 |
| 6 | 4500100000 |
| 7 | 1131041010 |
| oct | 271655540 |
| 9 | 111601600 |
| 10 | 48716640 |
| 11 | 25554595 |
| 12 | 14394600 |
| 13 | a12921b |
| 14 | 6681c40 |
| 15 | 4424860 |
| hex | 2e75b60 |
48716640 has 288 divisors, whose sum is σ = 198132480. Its totient is φ = 11073024.
The previous prime is 48716639. The next prime is 48716653. The reversal of 48716640 is 4661784.
48716640 is a `hidden beast` number, since 4 + 8 + 7 + 1 + 6 + 640 = 666.
It is a tau number, because it is divible by the number of its divisors (288).
It is a super-2 number, since 2×487166402 = 4746622025779200, which contains 22 as substring.
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 = 48716595 and 48716604.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 272071 + ... + 272249.
It is an arithmetic number, because the mean of its divisors is an integer number (687960).
Almost surely, 248716640 is an apocalyptic number.
48716640 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 48716640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99066240).
48716640 is an abundant number, since it is smaller than the sum of its proper divisors (149415840).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
48716640 is a wasteful number, since it uses less digits than its factorization.
48716640 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 216 (or 196 counting only the distinct ones).
The product of its (nonzero) digits is 32256, while the sum is 36.
The square root of 48716640 is about 6979.7306538290. The cubic root of 48716640 is about 365.2238321845.
It can be divided in two parts, 4871 and 6640, that added together give a palindrome (11511).
The spelling of 48716640 in words is "forty-eight million, seven hundred sixteen thousand, six hundred forty".
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