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41981040 = 24325199293
BaseRepresentation
bin1010000000100…
…1010001110000
32220222212011100
42200021101300
541221343130
64055444400
71016555463
oct240112160
986885140
1041981040
1121773a82
1212086700
13890b46a
14580b2da
153a43c60
hex2809470

41981040 has 120 divisors (see below), whose sum is σ = 142178400. Its totient is φ = 11100672.

The previous prime is 41981039. The next prime is 41981053. The reversal of 41981040 is 4018914.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 41980995 and 41981013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143134 + ... + 143426.

It is an arithmetic number, because the mean of its divisors is an integer number (1184820).

Almost surely, 241981040 is an apocalyptic number.

41981040 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 41981040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71089200).

41981040 is an abundant number, since it is smaller than the sum of its proper divisors (100197360).

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

41981040 is a wasteful number, since it uses less digits than its factorization.

41981040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 41981040 is about 6479.2777375260. The cubic root of 41981040 is about 347.5503506911.

Adding to 41981040 its reverse (4018914), we get a palindrome (45999954).

The spelling of 41981040 in words is "forty-one million, nine hundred eighty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 199 240 293 360 398 586 597 720 796 879 995 1172 1194 1465 1592 1758 1791 1990 2344 2388 2637 2930 2985 3184 3516 3582 3980 4395 4688 4776 5274 5860 5970 7032 7164 7960 8790 8955 9552 10548 11720 11940 13185 14064 14328 15920 17580 17910 21096 23440 23880 26370 28656 35160 35820 42192 47760 52740 58307 70320 71640 105480 116614 143280 174921 210960 233228 291535 349842 466456 524763 583070 699684 874605 932912 1049526 1166140 1399368 1749210 2099052 2332280 2623815 2798736 3498420 4198104 4664560 5247630 6996840 8396208 10495260 13993680 20990520 41981040