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41053300 = 225217193141
BaseRepresentation
bin1001110010011…
…0110001110100
32212020201112121
42130212301310
541002201200
64023525324
71005642631
oct234466164
985221477
1041053300
112119aa52
12118b9844
1386750c2
145649188
15390de1a
hex2726c74

41053300 has 144 divisors (see below), whose sum is σ = 104993280. Its totient is φ = 13824000.

The previous prime is 41053291. The next prime is 41053303. The reversal of 41053300 is 335014.

41053300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41053303) 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 47 ways as a sum of consecutive naturals, for example, 1001280 + ... + 1001320.

It is an arithmetic number, because the mean of its divisors is an integer number (729120).

Almost surely, 241053300 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 41053300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52496640).

41053300 is an abundant number, since it is smaller than the sum of its proper divisors (63939980).

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

41053300 is a wasteful number, since it uses less digits than its factorization.

41053300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 41053300 is about 6407.2849164057. The cubic root of 41053300 is about 344.9710820822.

Adding to 41053300 its reverse (335014), we get a palindrome (41388314).

The spelling of 41053300 in words is "forty-one million, fifty-three thousand, three hundred".

Divisors: 1 2 4 5 10 17 19 20 25 31 34 38 41 50 62 68 76 82 85 95 100 124 155 164 170 190 205 310 323 340 380 410 425 475 527 589 620 646 697 775 779 820 850 950 1025 1054 1178 1271 1292 1394 1550 1558 1615 1700 1900 2050 2108 2356 2542 2635 2788 2945 3100 3116 3230 3485 3895 4100 5084 5270 5890 6355 6460 6970 7790 8075 10013 10540 11780 12710 13175 13243 13940 14725 15580 16150 17425 19475 20026 21607 24149 25420 26350 26486 29450 31775 32300 34850 38950 40052 43214 48298 50065 52700 52972 58900 63550 66215 69700 77900 86428 96596 100130 108035 120745 127100 132430 200260 216070 241490 250325 264860 331075 410533 432140 482980 500650 540175 603725 662150 821066 1001300 1080350 1207450 1324300 1642132 2052665 2160700 2414900 4105330 8210660 10263325 20526650 41053300