| Base | Representation |
|---|---|
| bin | 1010000000101… |
| … | …0001010000000 |
| 3 | 2221000001002200 |
| 4 | 2200022022000 |
| 5 | 41222002030 |
| 6 | 4055513200 |
| 7 | 1016602125 |
| oct | 240121200 |
| 9 | 87001080 |
| 10 | 41984640 |
| 11 | 21776755 |
| 12 | 12088800 |
| 13 | 890cca9 |
| 14 | 580c74c |
| 15 | 3a44d60 |
| hex | 280a280 |
41984640 has 192 divisors, whose sum is σ = 149652360. Its totient is φ = 10838016.
The previous prime is 41984627. The next prime is 41984651. The reversal of 41984640 is 4648914.
It is a happy number.
41984640 is a `hidden beast` number, since 4 + 1 + 9 + 8 + 4 + 640 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 41679936 + 304704 = 6456^2 + 552^2 .
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 junction number, because it is equal to n+sod(n) for n = 41984595 and 41984604.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 213022 + ... + 213218.
Almost surely, 241984640 is an apocalyptic number.
41984640 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 41984640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74826180).
41984640 is an abundant number, since it is smaller than the sum of its proper divisors (107667720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
41984640 is a wasteful number, since it uses less digits than its factorization.
41984640 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 259 (or 244 counting only the distinct ones).
The product of its (nonzero) digits is 27648, while the sum is 36.
The square root of 41984640 is about 6479.5555403129. Note that the first 4 decimals coincide. The cubic root of 41984640 is about 347.5602849019.
It can be divided in two parts, 41984 and 640, that added together give a palindrome (42624).
The spelling of 41984640 in words is "forty-one million, nine hundred eighty-four thousand, six hundred forty".
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