Base | Representation |
---|---|
bin | 1001110111111… |
… | …1000110000000 |
3 | 2212221002202101 |
4 | 2131333012000 |
5 | 41100240130 |
6 | 4035400144 |
7 | 1012010362 |
oct | 235770600 |
9 | 85832671 |
10 | 41415040 |
11 | 21417807 |
12 | 11a53054 |
13 | 8770954 |
14 | 5700d32 |
15 | 39811ca |
hex | 277f180 |
41415040 has 64 divisors (see below), whose sum is σ = 99866160. Its totient is φ = 16422912.
The previous prime is 41415029. The next prime is 41415047. The reversal of 41415040 is 4051414.
41415040 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 (64).
It is a junction number, because it is equal to n+sod(n) for n = 41414999 and 41415017.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (41415047) 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, 104122 + ... + 104518.
Almost surely, 241415040 is an apocalyptic number.
41415040 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 41415040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49933080).
41415040 is an abundant number, since it is smaller than the sum of its proper divisors (58451120).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
41415040 is a wasteful number, since it uses less digits than its factorization.
41415040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 579 (or 567 counting only the distinct ones).
The product of its (nonzero) digits is 320, while the sum is 19.
The square root of 41415040 is about 6435.4518100907. The cubic root of 41415040 is about 345.9813548708.
Adding to 41415040 its reverse (4051414), we get a palindrome (45466454).
The spelling of 41415040 in words is "forty-one million, four hundred fifteen thousand, forty".
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