Search a number
-
+
41074866 = 2327417951
BaseRepresentation
bin1001110010110…
…0000010110010
32212021211010100
42130230002302
541003343431
64024213230
71006062540
oct234540262
985254110
1041074866
1121205178
121190a216
138681b71
145652d90
1539154e6
hex272c0b2

41074866 has 48 divisors (see below), whose sum is σ = 104203008. Its totient is φ = 11448000.

The previous prime is 41074861. The next prime is 41074877. The reversal of 41074866 is 66847014.

It is a self number, because there is not a number n which added to its sum of digits gives 41074866.

It is not an unprimeable number, because it can be changed into a prime (41074861) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1191 + ... + 9141.

It is an arithmetic number, because the mean of its divisors is an integer number (2170896).

Almost surely, 241074866 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41074866, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52101504).

41074866 is an abundant number, since it is smaller than the sum of its proper divisors (63128142).

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

41074866 is a wasteful number, since it uses less digits than its factorization.

41074866 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8007 (or 8004 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 41074866 is about 6408.9676235725. The cubic root of 41074866 is about 345.0314779092.

The spelling of 41074866 in words is "forty-one million, seventy-four thousand, eight hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 41 42 63 82 123 126 246 287 369 574 738 861 1722 2583 5166 7951 15902 23853 47706 55657 71559 111314 143118 166971 325991 333942 500913 651982 977973 1001826 1955946 2281937 2933919 4563874 5867838 6845811 13691622 20537433 41074866