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41311296 = 263413613
BaseRepresentation
bin1001110110010…
…1110001000000
32212201211110000
42131211301000
541033430141
64033240000
71011066045
oct235456100
985654400
1041311296
1121356874
1211a03000
138735670
1456b51cc
1539605b6
hex2765c40

41311296 has 140 divisors (see below), whose sum is σ = 132094732. Its totient is φ = 12690432.

The previous prime is 41311273. The next prime is 41311297. The reversal of 41311296 is 69211314.

It can be written as a sum of positive squares in 2 ways, for example, as 2073600 + 39237696 = 1440^2 + 6264^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (41311297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 67086 + ... + 67698.

Almost surely, 241311296 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 41311296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66047366).

41311296 is an abundant number, since it is smaller than the sum of its proper divisors (90783436).

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

41311296 is a wasteful number, since it uses less digits than its factorization.

41311296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 631 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 41311296 is about 6427.3864050639. The cubic root of 41311296 is about 345.6922207598.

The spelling of 41311296 in words is "forty-one million, three hundred eleven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 144 156 162 192 208 216 234 288 312 324 351 416 432 468 576 613 624 648 702 832 864 936 1053 1226 1248 1296 1404 1728 1839 1872 2106 2452 2496 2592 2808 3678 3744 4212 4904 5184 5517 5616 7356 7488 7969 8424 9808 11034 11232 14712 15938 16551 16848 19616 22068 22464 23907 29424 31876 33102 33696 39232 44136 47814 49653 58848 63752 66204 67392 71721 88272 95628 99306 117696 127504 132408 143442 176544 191256 198612 215163 255008 264816 286884 353088 382512 397224 430326 510016 529632 573768 645489 765024 794448 860652 1059264 1147536 1290978 1530048 1588896 1721304 2295072 2581956 3177792 3442608 4590144 5163912 6885216 10327824 13770432 20655648 41311296