Search a number
-
+
41112666 = 232736659
BaseRepresentation
bin1001110011010…
…1010001011010
32212100201222100
42130311101122
541011101131
64025104230
71006311000
oct234652132
985321870
1041112666
1121230611
1211928076
13869612a
145662a70
1539217e6
hex273545a

41112666 has 48 divisors (see below), whose sum is σ = 103896000. Its totient is φ = 11744712.

The previous prime is 41112653. The next prime is 41112679. The reversal of 41112666 is 66621114.

41112666 = T308 + T309 + ... + T650.

41112666 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (41112653) and next prime (41112679).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2845 + ... + 9503.

It is an arithmetic number, because the mean of its divisors is an integer number (2164500).

Almost surely, 241112666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41112666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51948000).

41112666 is an abundant number, since it is smaller than the sum of its proper divisors (62783334).

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

41112666 is a wasteful number, since it uses less digits than its factorization.

41112666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6688 (or 6671 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 41112666 is about 6411.9159383136. The cubic root of 41112666 is about 345.1372862570.

The spelling of 41112666 in words is "forty-one million, one hundred twelve thousand, six hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 343 441 686 882 1029 2058 3087 6174 6659 13318 19977 39954 46613 59931 93226 119862 139839 279678 326291 419517 652582 839034 978873 1957746 2284037 2936619 4568074 5873238 6852111 13704222 20556333 41112666