Base | Representation |
---|---|
bin | 1001111110110… |
… | …1100010100000 |
3 | 2220210002022100 |
4 | 2133231202200 |
5 | 41204224144 |
6 | 4053210400 |
7 | 1015603314 |
oct | 237554240 |
9 | 86702270 |
10 | 41867424 |
11 | 216a6685 |
12 | 12030a00 |
13 | 889b831 |
14 | 57bbb44 |
15 | 3a20269 |
hex | 27ed8a0 |
41867424 has 72 divisors (see below), whose sum is σ = 122309460. Its totient is φ = 13575168.
The previous prime is 41867417. The next prime is 41867443. The reversal of 41867424 is 42476814.
41867424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 2 ways, for example, as 41835024 + 32400 = 6468^2 + 180^2 .
It is a tau number, because it is divible by the number of its divisors (72).
It is a Harshad number since it is a multiple of its sum of digits (36).
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 11 ways as a sum of consecutive naturals, for example, 8692 + ... + 12620.
Almost surely, 241867424 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 41867424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61154730).
41867424 is an abundant number, since it is smaller than the sum of its proper divisors (80442036).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
41867424 is a wasteful number, since it uses less digits than its factorization.
41867424 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3982 (or 3971 counting only the distinct ones).
The product of its digits is 43008, while the sum is 36.
The square root of 41867424 is about 6470.5041534644. The cubic root of 41867424 is about 347.2365347667.
The spelling of 41867424 in words is "forty-one million, eight hundred sixty-seven thousand, four hundred twenty-four".
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