Base | Representation |
---|---|
bin | 1001110110100… |
… | …0111001110000 |
3 | 2212202111001212 |
4 | 2131220321300 |
5 | 41034333034 |
6 | 4033415252 |
7 | 1011151361 |
oct | 235507160 |
9 | 85674055 |
10 | 41324144 |
11 | 21365494 |
12 | 11a0a528 |
13 | 873b474 |
14 | 56b9b68 |
15 | 39642ce |
hex | 2768e70 |
41324144 has 40 divisors (see below), whose sum is σ = 85463280. Its totient is φ = 19289088.
The previous prime is 41324117. The next prime is 41324167. The reversal of 41324144 is 44142314.
It is a happy number.
41324144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a congruent number.
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 7 ways as a sum of consecutive naturals, for example, 37262 + ... + 38354.
It is an arithmetic number, because the mean of its divisors is an integer number (2136582).
Almost surely, 241324144 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 41324144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42731640).
41324144 is an abundant number, since it is smaller than the sum of its proper divisors (44139136).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
41324144 is a wasteful number, since it uses less digits than its factorization.
41324144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1257 (or 1251 counting only the distinct ones).
The product of its digits is 1536, while the sum is 23.
The square root of 41324144 is about 6428.3858004946. The cubic root of 41324144 is about 345.7280543269.
Adding to 41324144 its reverse (44142314), we get a palindrome (85466458).
The spelling of 41324144 in words is "forty-one million, three hundred twenty-four thousand, one hundred forty-four".
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