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41328 = 2432741
BaseRepresentation
bin1010000101110000
32002200200
422011300
52310303
6515200
7231330
oct120560
962620
1041328
1129061
121bb00
1315a71
14110c0
15c3a3
hexa170

41328 has 60 divisors (see below), whose sum is σ = 135408. Its totient is φ = 11520.

The previous prime is 41299. The next prime is 41333. The reversal of 41328 is 82314.

It can be divided in two parts, 413 and 28, that added together give a square (441 = 212).

It is a happy number.

41328 is a nontrivial binomial coefficient, being equal to C(288, 2).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is one of the 548 Lynch-Bell numbers.

It is a self number, because there is not a number n which added to its sum of digits gives 41328.

It is a congruent number.

It is an unprimeable number.

41328 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 988 + ... + 1028.

241328 is an apocalyptic number.

41328 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

41328 is the 287-th triangular number and also the 144-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67704).

41328 is an abundant number, since it is smaller than the sum of its proper divisors (94080).

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

41328 is a wasteful number, since it uses less digits than its factorization.

41328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 53 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 41328 is about 203.2928921532. The cubic root of 41328 is about 34.5738807410.

The spelling of 41328 in words is "forty-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 41 42 48 56 63 72 82 84 112 123 126 144 164 168 246 252 287 328 336 369 492 504 574 656 738 861 984 1008 1148 1476 1722 1968 2296 2583 2952 3444 4592 5166 5904 6888 10332 13776 20664 41328