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41798240 = 25511217127
BaseRepresentation
bin1001111101110…
…0101001100000
32220122120101222
42133130221200
541200020430
64051514212
71015164521
oct237345140
986576358
1041798240
1121659700
1211bb8968
1388761b3
1457a0848
153a099e5
hex27dca60

41798240 has 144 divisors (see below), whose sum is σ = 115831296. Its totient is φ = 14192640.

The previous prime is 41798221. The next prime is 41798243. The reversal of 41798240 is 4289714.

41798240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 41798240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41798243) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 329057 + ... + 329183.

It is an arithmetic number, because the mean of its divisors is an integer number (804384).

Almost surely, 241798240 is an apocalyptic number.

41798240 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 41798240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57915648).

41798240 is an abundant number, since it is smaller than the sum of its proper divisors (74033056).

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

41798240 is a wasteful number, since it uses less digits than its factorization.

41798240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 41798240 is about 6465.1558372556. The cubic root of 41798240 is about 347.0451651631.

The spelling of 41798240 in words is "forty-one million, seven hundred ninety-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 32 34 40 44 55 68 80 85 88 110 121 127 136 160 170 176 187 220 242 254 272 340 352 374 440 484 508 544 605 635 680 748 880 935 968 1016 1210 1270 1360 1397 1496 1760 1870 1936 2032 2057 2159 2420 2540 2720 2794 2992 3740 3872 4064 4114 4318 4840 5080 5588 5984 6985 7480 8228 8636 9680 10160 10285 10795 11176 13970 14960 15367 16456 17272 19360 20320 20570 21590 22352 23749 27940 29920 30734 32912 34544 41140 43180 44704 47498 55880 61468 65824 69088 76835 82280 86360 94996 111760 118745 122936 153670 164560 172720 189992 223520 237490 245872 261239 307340 329120 345440 379984 474980 491744 522478 614680 759968 949960 1044956 1229360 1306195 1899920 2089912 2458720 2612390 3799840 4179824 5224780 8359648 10449560 20899120 41798240