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41043168 = 25321783101
BaseRepresentation
bin1001110010010…
…0010011100000
32212020012122100
42130210103200
541001340133
64023410400
71005601245
oct234442340
985205570
1041043168
1121193381
12118b3a00
1386705ca
1456455cc
15390ae13
hex27244e0

41043168 has 144 divisors (see below), whose sum is σ = 126309456. Its totient is φ = 12595200.

The previous prime is 41043161. The next prime is 41043193. The reversal of 41043168 is 86134014.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41043161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 406318 + ... + 406418.

It is an arithmetic number, because the mean of its divisors is an integer number (877149).

Almost surely, 241043168 is an apocalyptic number.

41043168 is a gapful number since it is divisible by the number (48) 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 41043168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63154728).

41043168 is an abundant number, since it is smaller than the sum of its proper divisors (85266288).

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

41043168 is a wasteful number, since it uses less digits than its factorization.

41043168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 41043168 is about 6406.4942051016. The cubic root of 41043168 is about 344.9426999986.

The spelling of 41043168 in words is "forty-one million, forty-three thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 83 96 101 102 136 144 153 166 202 204 249 272 288 303 306 332 404 408 498 544 606 612 664 747 808 816 909 996 1212 1224 1328 1411 1494 1616 1632 1717 1818 1992 2424 2448 2656 2822 2988 3232 3434 3636 3984 4233 4848 4896 5151 5644 5976 6868 7272 7968 8383 8466 9696 10302 11288 11952 12699 13736 14544 15453 16766 16932 20604 22576 23904 25149 25398 27472 29088 30906 33532 33864 41208 45152 50298 50796 54944 61812 67064 67728 75447 82416 100596 101592 123624 134128 135456 142511 150894 164832 201192 203184 247248 268256 285022 301788 402384 406368 427533 494496 570044 603576 804768 855066 1140088 1207152 1282599 1710132 2280176 2414304 2565198 3420264 4560352 5130396 6840528 10260792 13681056 20521584 41043168