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41832 = 2332783
BaseRepresentation
bin1010001101101000
32010101100
422031220
52314312
6521400
7232650
oct121550
963340
1041832
112947a
1220260
131606b
1411360
15c5dc
hexa368

41832 has 48 divisors (see below), whose sum is σ = 131040. Its totient is φ = 11808.

The previous prime is 41813. The next prime is 41843. The reversal of 41832 is 23814.

Subtracting from 41832 its sum of digits (18), we obtain a palindrome (41814).

Adding to 41832 its product of digits (192), we get a palindrome (42024).

It is a happy number.

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 an alternating number because its digits alternate between even and odd.

It is one of the 548 Lynch-Bell numbers.

It is an unprimeable number.

41832 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 463 + ... + 545.

It is an arithmetic number, because the mean of its divisors is an integer number (2730).

241832 is an apocalyptic number.

41832 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 41832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65520).

41832 is an abundant number, since it is smaller than the sum of its proper divisors (89208).

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

41832 is a wasteful number, since it uses less digits than its factorization.

41832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 95 counting only the distinct ones).

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

The square root of 41832 is about 204.5287265887. The cubic root of 41832 is about 34.7138574932.

The spelling of 41832 in words is "forty-one thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 83 84 126 166 168 249 252 332 498 504 581 664 747 996 1162 1494 1743 1992 2324 2988 3486 4648 5229 5976 6972 10458 13944 20916 41832