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41563530 = 234523297
BaseRepresentation
bin1001111010001…
…1010110001010
32220012122110000
42132203112022
541120013110
64042503430
71013166321
oct236432612
986178400
1041563530
1121509328
1211b04b76
1387c3408
14573d0b8
1539b01c0
hex27a358a

41563530 has 120 divisors (see below), whose sum is σ = 118034532. Its totient is φ = 10492416.

The previous prime is 41563523. The next prime is 41563567. The reversal of 41563530 is 3536514.

41563530 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 41177889 + 385641 = 6417^2 + 621^2 .

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 41563494 and 41563503.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 428442 + ... + 428538.

Almost surely, 241563530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41563530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59017266).

41563530 is an abundant number, since it is smaller than the sum of its proper divisors (76471002).

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

41563530 is a wasteful number, since it uses less digits than its factorization.

41563530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 41563530 is about 6446.9783619925. The cubic root of 41563530 is about 346.3943569548.

The spelling of 41563530 in words is "forty-one million, five hundred sixty-three thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 81 90 97 115 135 138 162 194 207 230 270 291 345 405 414 485 529 582 621 690 810 873 970 1035 1058 1242 1455 1587 1746 1863 2070 2231 2619 2645 2910 3105 3174 3726 4365 4462 4761 5238 5290 6210 6693 7857 7935 8730 9315 9522 11155 13095 13386 14283 15714 15870 18630 20079 22310 23805 26190 28566 33465 39285 40158 42849 47610 51313 60237 66930 71415 78570 85698 100395 102626 120474 142830 153939 180711 200790 214245 256565 301185 307878 361422 428490 461817 513130 602370 769695 903555 923634 1385451 1539390 1807110 2309085 2770902 4156353 4618170 6927255 8312706 13854510 20781765 41563530