Search a number
-
+
41382066 = 2311718831
BaseRepresentation
bin1001110111011…
…1000010110010
32212212102112010
42131313002302
541043211231
64034543350
71011512265
oct235670262
985772463
1041382066
11213a4a60
1211a37b56
13875b93b
1456d2cdc
153976546
hex27770b2

41382066 has 32 divisors (see below), whose sum is σ = 91570176. Its totient is φ = 12362000.

The previous prime is 41382053. The next prime is 41382067. The reversal of 41382066 is 66028314.

It is not an unprimeable number, because it can be changed into a prime (41382067) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 271 + ... + 9101.

It is an arithmetic number, because the mean of its divisors is an integer number (2861568).

Almost surely, 241382066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41382066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45785088).

41382066 is an abundant number, since it is smaller than the sum of its proper divisors (50188110).

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

41382066 is a wasteful number, since it uses less digits than its factorization.

41382066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8918.

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 41382066 is about 6432.8893974636. The cubic root of 41382066 is about 345.8895088630.

The spelling of 41382066 in words is "forty-one million, three hundred eighty-two thousand, sixty-six".

Divisors: 1 2 3 6 11 22 33 66 71 142 213 426 781 1562 2343 4686 8831 17662 26493 52986 97141 194282 291423 582846 627001 1254002 1881003 3762006 6897011 13794022 20691033 41382066