Base | Representation |
---|---|
bin | 1001111100001… |
… | …1010010000000 |
3 | 2220110021212200 |
4 | 2133003102000 |
5 | 41133204321 |
6 | 4045353200 |
7 | 1014252555 |
oct | 237032200 |
9 | 86407780 |
10 | 41694336 |
11 | 21598632 |
12 | 11b68800 |
13 | 883ab08 |
14 | 5774a2c |
15 | 39d8d26 |
hex | 27c3480 |
41694336 has 96 divisors (see below), whose sum is σ = 127097100. Its totient is φ = 13074432.
The previous prime is 41694299. The next prime is 41694337. The reversal of 41694336 is 63349614.
It can be written as a sum of positive squares in 2 ways, for example, as 41679936 + 14400 = 6456^2 + 120^2 .
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 41694336.
It is not an unprimeable number, because it can be changed into a prime (41694337) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18520 + ... + 20648.
Almost surely, 241694336 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 41694336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63548550).
41694336 is an abundant number, since it is smaller than the sum of its proper divisors (85402764).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
41694336 is a wasteful number, since it uses less digits than its factorization.
41694336 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2166 (or 2151 counting only the distinct ones).
The product of its digits is 46656, while the sum is 36.
The square root of 41694336 is about 6457.1151453261. The cubic root of 41694336 is about 346.7573595718.
The spelling of 41694336 in words is "forty-one million, six hundred ninety-four thousand, three hundred thirty-six".
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