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41303880 = 23325172397
BaseRepresentation
bin1001110110001…
…1111101001000
32212201110021100
42131203331020
541033211010
64033141400
71011035322
oct235437510
985643240
1041303880
1121351242
12119ba860
138732187
1456b2612
15395d2c0
hex2763f48

41303880 has 144 divisors (see below), whose sum is σ = 142957620. Its totient is φ = 10340352.

The previous prime is 41303879. The next prime is 41303881. The reversal of 41303880 is 8830314.

It is an interprime number because it is at equal distance from previous prime (41303879) and next prime (41303881).

It can be written as a sum of positive squares in 6 ways, for example, as 32695524 + 8608356 = 5718^2 + 2934^2 .

It is not an unprimeable number, because it can be changed into a prime (41303881) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 103842 + ... + 104238.

Almost surely, 241303880 is an apocalyptic number.

41303880 is a gapful number since it is divisible by the number (40) 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 41303880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71478810).

41303880 is an abundant number, since it is smaller than the sum of its proper divisors (101653740).

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

41303880 is a wasteful number, since it uses less digits than its factorization.

41303880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 41303880 is about 6426.8094728255. The cubic root of 41303880 is about 345.6715338680.

The spelling of 41303880 in words is "forty-one million, three hundred three thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 289 306 340 360 397 408 510 578 612 680 765 794 867 1020 1156 1191 1224 1445 1530 1588 1734 1985 2040 2312 2382 2601 2890 3060 3176 3468 3573 3970 4335 4764 5202 5780 5955 6120 6749 6936 7146 7940 8670 9528 10404 11560 11910 13005 13498 14292 15880 17340 17865 20247 20808 23820 26010 26996 28584 33745 34680 35730 40494 47640 52020 53992 60741 67490 71460 80988 101235 104040 114733 121482 134980 142920 161976 202470 229466 242964 269960 303705 344199 404940 458932 485928 573665 607410 688398 809880 917864 1032597 1147330 1214820 1376796 1720995 2065194 2294660 2429640 2753592 3441990 4130388 4589320 5162985 6883980 8260776 10325970 13767960 20651940 41303880