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41664896 = 27731373
BaseRepresentation
bin1001111011110…
…0000110000000
32220101210111022
42132330012000
541131234041
64045005012
71014101000
oct236740600
986353438
1041664896
11215784a9
1211b53768
13882a5b0
145768000
1539d024b
hex27bc180

41664896 has 128 divisors (see below), whose sum is σ = 105672000. Its totient is φ = 16257024.

The previous prime is 41664881. The next prime is 41664901. The reversal of 41664896 is 69846614.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 570716 + ... + 570788.

Almost surely, 241664896 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 41664896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52836000).

41664896 is an abundant number, since it is smaller than the sum of its proper divisors (64007104).

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

41664896 is an equidigital number, since it uses as much as digits as its factorization.

41664896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 95 counting only the distinct ones).

The product of its digits is 248832, while the sum is 44.

The square root of 41664896 is about 6454.8350869716. The cubic root of 41664896 is about 346.6757262590.

The spelling of 41664896 in words is "forty-one million, six hundred sixty-four thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 73 91 98 104 112 128 146 182 196 208 224 292 343 364 392 416 448 511 584 637 686 728 784 832 896 949 1022 1168 1274 1372 1456 1568 1664 1898 2044 2336 2548 2744 2912 3136 3577 3796 4088 4459 4672 5096 5488 5824 6272 6643 7154 7592 8176 8918 9344 10192 10976 11648 13286 14308 15184 16352 17836 20384 21952 25039 26572 28616 30368 32704 35672 40768 43904 46501 50078 53144 57232 60736 65408 71344 81536 93002 100156 106288 114464 121472 142688 186004 200312 212576 228928 285376 325507 372008 400624 425152 457856 570752 651014 744016 801248 850304 1302028 1488032 1602496 2604056 2976064 3204992 5208112 5952128 10416224 20832448 41664896