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41838096 = 243312907
BaseRepresentation
bin1001111110011…
…0011000010000
32220201121002010
42133212120100
541202304341
64052422520
71015421646
oct237463020
986647063
1041838096
1121686643
1212017a40
13888b391
1457b1196
153a16716
hex27e6610

41838096 has 60 divisors (see below), whose sum is σ = 111803856. Its totient is φ = 13481280.

The previous prime is 41838077. The next prime is 41838101. The reversal of 41838096 is 69083814.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45675 + ... + 46581.

Almost surely, 241838096 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 41838096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55901928).

41838096 is an abundant number, since it is smaller than the sum of its proper divisors (69965760).

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

41838096 is a wasteful number, since it uses less digits than its factorization.

41838096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 41838096 is about 6468.2374724495. The cubic root of 41838096 is about 347.1554364573.

The spelling of 41838096 in words is "forty-one million, eight hundred thirty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 907 961 1488 1814 1922 2721 2883 3628 3844 5442 5766 7256 7688 10884 11532 14512 15376 21768 23064 28117 43536 46128 56234 84351 112468 168702 224936 337404 449872 674808 871627 1349616 1743254 2614881 3486508 5229762 6973016 10459524 13946032 20919048 41838096