Search a number
-
+
41741336 = 2372138191
BaseRepresentation
bin1001111100111…
…0110000011000
32220112200100102
42133032300120
541141210321
64050354532
71014536600
oct237166030
986480312
1041741336
112161a97a
1211b8ba48
138856320
145787c00
1539e7c0b
hex27cec18

41741336 has 48 divisors (see below), whose sum is σ = 98058240. Its totient is φ = 16511040.

The previous prime is 41741303. The next prime is 41741339. The reversal of 41741336 is 63314714.

41741336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 41741299 and 41741308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41741339) 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 11 ways as a sum of consecutive naturals, for example, 1001 + ... + 9191.

It is an arithmetic number, because the mean of its divisors is an integer number (2042880).

Almost surely, 241741336 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 41741336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49029120).

41741336 is an abundant number, since it is smaller than the sum of its proper divisors (56316904).

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

41741336 is a wasteful number, since it uses less digits than its factorization.

41741336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8224 (or 8213 counting only the distinct ones).

The product of its digits is 6048, while the sum is 29.

The square root of 41741336 is about 6460.7535164252. The cubic root of 41741336 is about 346.8876048878.

The spelling of 41741336 in words is "forty-one million, seven hundred forty-one thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 91 98 104 182 196 364 392 637 728 1274 2548 5096 8191 16382 32764 57337 65528 106483 114674 212966 229348 401359 425932 458696 745381 802718 851864 1490762 1605436 2981524 3210872 5217667 5963048 10435334 20870668 41741336