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41083168 = 257319197
BaseRepresentation
bin1001110010111…
…0000100100000
32212022020111211
42130232010200
541004130133
64024315504
71006126000
oct234560440
985266454
1041083168
1121210435
1211912b94
138685889
145656000
153917bcd
hex272e120

41083168 has 96 divisors (see below), whose sum is σ = 99792000. Its totient is φ = 16595712.

The previous prime is 41083157. The next prime is 41083171. The reversal of 41083168 is 86138014.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 208446 + ... + 208642.

It is an arithmetic number, because the mean of its divisors is an integer number (1039500).

Almost surely, 241083168 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 41083168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49896000).

41083168 is an abundant number, since it is smaller than the sum of its proper divisors (58708832).

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

41083168 is a wasteful number, since it uses less digits than its factorization.

41083168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 41083168 is about 6409.6152770662. The cubic root of 41083168 is about 345.0547221187.

The spelling of 41083168 in words is "forty-one million, eighty-three thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 49 56 76 98 112 133 152 196 197 224 266 304 343 392 394 532 608 686 784 788 931 1064 1372 1379 1568 1576 1862 2128 2744 2758 3152 3724 3743 4256 5488 5516 6304 6517 7448 7486 9653 10976 11032 13034 14896 14972 19306 22064 26068 26201 29792 29944 38612 44128 52136 52402 59888 67571 77224 104272 104804 119776 135142 154448 183407 208544 209608 270284 308896 366814 419216 540568 733628 838432 1081136 1283849 1467256 2162272 2567698 2934512 5135396 5869024 10270792 20541584 41083168