| Base | Representation |
|---|---|
| bin | 1001111011001… |
| … | …1001010000000 |
| 3 | 2220022221021110 |
| 4 | 2132303022000 |
| 5 | 41124101123 |
| 6 | 4044123320 |
| 7 | 1013556162 |
| oct | 236631200 |
| 9 | 86287243 |
| 10 | 41628288 |
| 11 | 21552a49 |
| 12 | 11b36540 |
| 13 | 8816a30 |
| 14 | 5758932 |
| 15 | 39c4493 |
| hex | 27b3280 |
41628288 has 128 divisors (see below), whose sum is σ = 123379200. Its totient is φ = 12349440.
The previous prime is 41628287. The next prime is 41628289. The reversal of 41628288 is 88282614.
It is an interprime number because it is at equal distance from previous prime (41628287) and next prime (41628289).
It is a tau number, because it is divible by the number of its divisors (128).
It is a Harshad number since it is a multiple of its sum of digits (39).
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (41628281) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154618 + ... + 154886.
It is an arithmetic number, because the mean of its divisors is an integer number (963900).
Almost surely, 241628288 is an apocalyptic number.
41628288 is a gapful number since it is divisible by the number (48) 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 41628288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61689600).
41628288 is an abundant number, since it is smaller than the sum of its proper divisors (81750912).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
41628288 is a wasteful number, since it uses less digits than its factorization.
41628288 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 330 (or 318 counting only the distinct ones).
The product of its digits is 49152, while the sum is 39.
The square root of 41628288 is about 6451.9987600743. The cubic root of 41628288 is about 346.5741633531.
The spelling of 41628288 in words is "forty-one million, six hundred twenty-eight thousand, two hundred eighty-eight".
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