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41192000382 = 231317593111693
BaseRepresentation
bin100110010111001111…
…000000101101111110
310221022202000102121210
4212113033000231332
51133330123003012
630531235305250
72655530140401
oct462717005576
9127282012553
1041192000382
11165188a0625
127b9714b226
133b66005830
141dcaa17d38
15111149223c
hex9973c0b7e

41192000382 has 128 divisors (see below), whose sum is σ = 95896120320. Its totient is φ = 11682109440.

The previous prime is 41192000357. The next prime is 41192000389. The reversal of 41192000382 is 28300029114.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41192000389) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24329928 + ... + 24331620.

It is an arithmetic number, because the mean of its divisors is an integer number (749188440).

Almost surely, 241192000382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41192000382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47948060160).

41192000382 is an abundant number, since it is smaller than the sum of its proper divisors (54704119938).

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

41192000382 is a wasteful number, since it uses less digits than its factorization.

41192000382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2098.

The product of its (nonzero) digits is 3456, while the sum is 30.

Adding to 41192000382 its reverse (28300029114), we get a palindrome (69492029496).

The spelling of 41192000382 in words is "forty-one billion, one hundred ninety-two million, three hundred eighty-two", and thus it is an aban number.

Divisors: 1 2 3 6 13 17 26 34 39 51 59 78 102 118 177 221 311 354 442 622 663 767 933 1003 1326 1534 1693 1866 2006 2301 3009 3386 4043 4602 5079 5287 6018 8086 10158 10574 12129 13039 15861 18349 22009 24258 26078 28781 31722 36698 39117 44018 55047 57562 66027 68731 78234 86343 99887 110094 132054 137462 172686 199774 206193 238537 299661 311933 374153 412386 477074 526523 599322 623866 715611 748306 935799 1053046 1122459 1298531 1431222 1579569 1698079 1871598 2244918 2597062 3159138 3396158 3895593 4055129 5094237 6844799 7791186 8110258 8950891 10188474 12165387 13689598 17901782 20534397 22075027 24330774 26852673 31064857 41068794 44150054 53705346 62129714 66225081 93194571 116361583 132450162 186389142 232723166 349084749 403843141 528102569 698169498 807686282 1056205138 1211529423 1584307707 2423058846 3168615414 6865333397 13730666794 20596000191 41192000382