Search a number
-
+
41104016 = 2431791049
BaseRepresentation
bin1001110011001…
…1001010010000
32212100022002222
42130303022100
541010312031
64025000212
71006243532
oct234631220
985308088
1041104016
1121225068
1211923068
138692205
14565d852
15391de7b
hex2733290

41104016 has 40 divisors (see below), whose sum is σ = 83328000. Its totient is φ = 19618560.

The previous prime is 41103989. The next prime is 41104033. The reversal of 41104016 is 61040114.

It is a junction number, because it is equal to n+sod(n) for n = 41103985 and 41104003.

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 7 ways as a sum of consecutive naturals, for example, 38660 + ... + 39708.

It is an arithmetic number, because the mean of its divisors is an integer number (2083200).

Almost surely, 241104016 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 41104016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41664000).

41104016 is an abundant number, since it is smaller than the sum of its proper divisors (42223984).

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

41104016 is a wasteful number, since it uses less digits than its factorization.

41104016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 41104016 is about 6411.2413774557. The cubic root of 41104016 is about 345.1130792245.

The spelling of 41104016 in words is "forty-one million, one hundred four thousand, sixteen".

Divisors: 1 2 4 8 16 31 62 79 124 158 248 316 496 632 1049 1264 2098 2449 4196 4898 8392 9796 16784 19592 32519 39184 65038 82871 130076 165742 260152 331484 520304 662968 1325936 2569001 5138002 10276004 20552008 41104016