Search a number
-
+
41002332 = 2237835881
BaseRepresentation
bin1001110001101…
…0010101011100
32212011010121220
42130122111130
540444033312
64022453340
71005341220
oct234322534
985133556
1041002332
1121165728
1211894250
138657b47
145634780
1538edc8c
hex271a55c

41002332 has 48 divisors (see below), whose sum is σ = 110675712. Its totient is φ = 11571840.

The previous prime is 41002303. The next prime is 41002363. The reversal of 41002332 is 23320014.

41002332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 4032 + ... + 9912.

It is an arithmetic number, because the mean of its divisors is an integer number (2305744).

Almost surely, 241002332 is an apocalyptic number.

41002332 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41002332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55337856).

41002332 is an abundant number, since it is smaller than the sum of its proper divisors (69673380).

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

41002332 is a wasteful number, since it uses less digits than its factorization.

41002332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5978 (or 5976 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 41002332 is about 6403.3063334499. The cubic root of 41002332 is about 344.8282615099.

Adding to 41002332 its reverse (23320014), we get a palindrome (64322346).

The spelling of 41002332 in words is "forty-one million, two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 83 84 166 249 332 498 581 996 1162 1743 2324 3486 5881 6972 11762 17643 23524 35286 41167 70572 82334 123501 164668 247002 488123 494004 976246 1464369 1952492 2928738 3416861 5857476 6833722 10250583 13667444 20501166 41002332