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41363000 = 2353719311
BaseRepresentation
bin1001110111001…
…0011000111000
32212211110100222
42131302120320
541042104000
64034315212
71011402560
oct235623070
985743328
1041363000
11213916a8
1211a28b08
138753063
1456c9da0
153970a85
hex2772638

41363000 has 128 divisors (see below), whose sum is σ = 116812800. Its totient is φ = 13392000.

The previous prime is 41362991. The next prime is 41363029. The reversal of 41363000 is 36314.

41363000 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 41363000.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 132845 + ... + 133155.

It is an arithmetic number, because the mean of its divisors is an integer number (912600).

Almost surely, 241363000 is an apocalyptic number.

41363000 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 41363000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58406400).

41363000 is an abundant number, since it is smaller than the sum of its proper divisors (75449800).

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

41363000 is a wasteful number, since it uses less digits than its factorization.

41363000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 41363000 is about 6431.4073110012. The cubic root of 41363000 is about 345.8363800315.

Adding to 41363000 its reverse (36314), we get a palindrome (41399314).

The spelling of 41363000 in words is "forty-one million, three hundred sixty-three thousand".

Divisors: 1 2 4 5 7 8 10 14 19 20 25 28 35 38 40 50 56 70 76 95 100 125 133 140 152 175 190 200 250 266 280 311 350 380 475 500 532 622 665 700 760 875 950 1000 1064 1244 1330 1400 1555 1750 1900 2177 2375 2488 2660 3110 3325 3500 3800 4354 4750 5320 5909 6220 6650 7000 7775 8708 9500 10885 11818 12440 13300 15550 16625 17416 19000 21770 23636 26600 29545 31100 33250 38875 41363 43540 47272 54425 59090 62200 66500 77750 82726 87080 108850 118180 133000 147725 155500 165452 206815 217700 236360 272125 295450 311000 330904 413630 435400 544250 590900 738625 827260 1034075 1088500 1181800 1477250 1654520 2068150 2177000 2954500 4136300 5170375 5909000 8272600 10340750 20681500 41363000