Search a number
-
+
41881224 = 233711131173
BaseRepresentation
bin1001111111000…
…0111010001000
32220210210020110
42133300322020
541210144344
64053354320
71015661460
oct237607210
986723213
1041881224
1121705a90
12120389a0
1388a4bb8
1457c2ba0
153a243b9
hex27f0e88

41881224 has 128 divisors (see below), whose sum is σ = 132295680. Its totient is φ = 10732800.

The previous prime is 41881223. The next prime is 41881241. The reversal of 41881224 is 42218814.

41881224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 41881191 and 41881200.

It is not an unprimeable number, because it can be changed into a prime (41881223) 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 31 ways as a sum of consecutive naturals, for example, 242002 + ... + 242174.

It is an arithmetic number, because the mean of its divisors is an integer number (1033560).

Almost surely, 241881224 is an apocalyptic number.

41881224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41881224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66147840).

41881224 is an abundant number, since it is smaller than the sum of its proper divisors (90414456).

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

41881224 is a wasteful number, since it uses less digits than its factorization.

41881224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 327 counting only the distinct ones).

The product of its digits is 4096, while the sum is 30.

The square root of 41881224 is about 6471.5704430996. The cubic root of 41881224 is about 347.2746816705.

The spelling of 41881224 in words is "forty-one million, eight hundred eighty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 131 132 154 168 173 231 262 264 308 346 393 462 519 524 616 692 786 917 924 1038 1048 1211 1384 1441 1572 1834 1848 1903 2076 2422 2751 2882 3144 3633 3668 3806 4152 4323 4844 5502 5709 5764 7266 7336 7612 8646 9688 10087 11004 11418 11528 13321 14532 15224 17292 20174 22008 22663 22836 26642 29064 30261 34584 39963 40348 45326 45672 53284 60522 67989 79926 80696 90652 106568 121044 135978 158641 159852 181304 242088 249293 271956 317282 319704 475923 498586 543912 634564 747879 951846 997172 1269128 1495758 1745051 1903692 1994344 2991516 3490102 3807384 5235153 5983032 6980204 10470306 13960408 20940612 41881224