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41959944 = 23341317293
BaseRepresentation
bin1010000000010…
…0001000001000
32220221210020000
42200010020020
541220204234
64055203000
71016440125
oct240041010
986853200
1041959944
112175a144
1212076460
138901990
14580374c
153a3c899
hex2804208

41959944 has 160 divisors (see below), whose sum is σ = 134469720. Its totient is φ = 12109824.

The previous prime is 41959913. The next prime is 41959979. The reversal of 41959944 is 44995914.

41959944 is a `hidden beast` number, since 4 + 19 + 599 + 44 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 40832100 + 1127844 = 6390^2 + 1062^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 41959944.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 143062 + ... + 143354.

Almost surely, 241959944 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 41959944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67234860).

41959944 is an abundant number, since it is smaller than the sum of its proper divisors (92509776).

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

41959944 is a wasteful number, since it uses less digits than its factorization.

41959944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 328 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 41959944 is about 6477.6495737266. The cubic root of 41959944 is about 347.4921247978.

The spelling of 41959944 in words is "forty-one million, nine hundred fifty-nine thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 17 18 24 26 27 34 36 39 51 52 54 68 72 78 81 102 104 108 117 136 153 156 162 204 216 221 234 293 306 312 324 351 408 442 459 468 586 612 648 663 702 879 884 918 936 1053 1172 1224 1326 1377 1404 1758 1768 1836 1989 2106 2344 2637 2652 2754 2808 3516 3672 3809 3978 4212 4981 5274 5304 5508 5967 7032 7618 7911 7956 8424 9962 10548 11016 11427 11934 14943 15236 15822 15912 17901 19924 21096 22854 23733 23868 29886 30472 31644 34281 35802 39848 44829 45708 47466 47736 59772 63288 64753 68562 71604 89658 91416 94932 102843 119544 129506 134487 137124 143208 179316 189864 194259 205686 259012 268974 274248 308529 358632 388518 403461 411372 518024 537948 582777 617058 777036 806922 822744 1075896 1165554 1234116 1554072 1613844 1748331 2331108 2468232 3227688 3496662 4662216 5244993 6993324 10489986 13986648 20979972 41959944