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41331444 = 223711411091
BaseRepresentation
bin1001110110101…
…0101011110100
32212202212002020
42131222223310
541040101234
64033513140
71011211560
oct235525364
985685066
1041331444
112136aa20
1211a127b0
13874189b
1456bc6a0
153966549
hex276aaf4

41331444 has 96 divisors (see below), whose sum is σ = 123282432. Its totient is φ = 10464000.

The previous prime is 41331431. The next prime is 41331481. The reversal of 41331444 is 44413314.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37339 + ... + 38429.

It is an arithmetic number, because the mean of its divisors is an integer number (1284192).

Almost surely, 241331444 is an apocalyptic number.

41331444 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 41331444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61641216).

41331444 is an abundant number, since it is smaller than the sum of its proper divisors (81950988).

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

41331444 is a wasteful number, since it uses less digits than its factorization.

41331444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157 (or 1155 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 41331444 is about 6428.9535695944. The cubic root of 41331444 is about 345.7484109994.

Adding to 41331444 its reverse (44413314), we get a palindrome (85744758).

The spelling of 41331444 in words is "forty-one million, three hundred thirty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 41 42 44 66 77 82 84 123 132 154 164 231 246 287 308 451 462 492 574 861 902 924 1091 1148 1353 1722 1804 2182 2706 3157 3273 3444 4364 5412 6314 6546 7637 9471 12001 12628 13092 15274 18942 22911 24002 30548 36003 37884 44731 45822 48004 72006 84007 89462 91644 134193 144012 168014 178924 252021 268386 313117 336028 492041 504042 536772 626234 939351 984082 1008084 1252468 1476123 1878702 1968164 2952246 3444287 3757404 5904492 6888574 10332861 13777148 20665722 41331444