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41382168 = 2334340099
BaseRepresentation
bin1001110111011…
…1000100011000
32212212102122220
42131313010120
541043212133
64034544040
71011512502
oct235670430
985772586
1041382168
11213a5043
1211a38020
13875b9b9
1456d2d72
1539765b3
hex2777118

41382168 has 32 divisors (see below), whose sum is σ = 105864000. Its totient is φ = 13472928.

The previous prime is 41382163. The next prime is 41382181. The reversal of 41382168 is 86128314.

41382168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41382163) 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, 19018 + ... + 21081.

It is an arithmetic number, because the mean of its divisors is an integer number (3308250).

Almost surely, 241382168 is an apocalyptic number.

It is an amenable number.

41382168 is an abundant number, since it is smaller than the sum of its proper divisors (64481832).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41382168 is a wasteful number, since it uses less digits than its factorization.

41382168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40151 (or 40147 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 41382168 is about 6432.8973254670. The cubic root of 41382168 is about 345.8897930498.

The spelling of 41382168 in words is "forty-one million, three hundred eighty-two thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 258 344 516 1032 40099 80198 120297 160396 240594 320792 481188 962376 1724257 3448514 5172771 6897028 10345542 13794056 20691084 41382168