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41563980 = 2232517347
BaseRepresentation
bin1001111010001…
…1011101001100
32220012200001200
42132203131030
541120021410
64042505500
71013200533
oct236433514
986180050
1041563980
11215096a7
1211b05290
1387c3693
14573d31a
1539b03c0
hex27a374c

41563980 has 144 divisors (see below), whose sum is σ = 136805760. Its totient is φ = 10209792.

The previous prime is 41563961. The next prime is 41563981. The reversal of 41563980 is 8936514.

41563980 is a `hidden beast` number, since 4 + 1 + 563 + 98 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (41563981) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 884317 + ... + 884363.

It is an arithmetic number, because the mean of its divisors is an integer number (950040).

Almost surely, 241563980 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 41563980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68402880).

41563980 is an abundant number, since it is smaller than the sum of its proper divisors (95241780).

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

41563980 is a wasteful number, since it uses less digits than its factorization.

41563980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 41563980 is about 6447.0132619687. The cubic root of 41563980 is about 346.3956070644.

The spelling of 41563980 in words is "forty-one million, five hundred sixty-three thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 47 51 60 68 85 90 94 102 141 153 170 180 188 204 235 255 282 289 306 340 423 470 510 564 578 612 705 765 799 846 867 940 1020 1156 1410 1445 1530 1598 1692 1734 2115 2397 2601 2820 2890 3060 3196 3468 3995 4230 4335 4794 4913 5202 5780 7191 7990 8460 8670 9588 9826 10404 11985 13005 13583 14382 14739 15980 17340 19652 23970 24565 26010 27166 28764 29478 35955 40749 44217 47940 49130 52020 54332 58956 67915 71910 73695 81498 88434 98260 122247 135830 143820 147390 162996 176868 203745 221085 230911 244494 271660 294780 407490 442170 461822 488988 611235 692733 814980 884340 923644 1154555 1222470 1385466 2078199 2309110 2444940 2770932 3463665 4156398 4618220 6927330 8312796 10390995 13854660 20781990 41563980