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41132232 = 2333191997
BaseRepresentation
bin1001110011101…
…0000011001000
32212101201211000
42130322003020
541012212412
64025335000
71006422021
oct234720310
985351730
1041132232
1121244289
1211937460
1386a1ccb
145669c48
1539274dc
hex273a0c8

41132232 has 64 divisors (see below), whose sum is σ = 114969600. Its totient is φ = 13625280.

The previous prime is 41132159. The next prime is 41132233. The reversal of 41132232 is 23223114.

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 not an unprimeable number, because it can be changed into a prime (41132233) 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 15 ways as a sum of consecutive naturals, for example, 40758 + ... + 41754.

It is an arithmetic number, because the mean of its divisors is an integer number (1796400).

Almost surely, 241132232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41132232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57484800).

41132232 is an abundant number, since it is smaller than the sum of its proper divisors (73837368).

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

41132232 is a wasteful number, since it uses less digits than its factorization.

41132232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1203 (or 1193 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 41132232 is about 6413.4415098292. The cubic root of 41132232 is about 345.1920292014.

Adding to 41132232 its reverse (23223114), we get a palindrome (64355346).

The spelling of 41132232 in words is "forty-one million, one hundred thirty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 191 216 382 573 764 997 1146 1528 1719 1994 2292 2991 3438 3988 4584 5157 5982 6876 7976 8973 10314 11964 13752 17946 20628 23928 26919 35892 41256 53838 71784 107676 190427 215352 380854 571281 761708 1142562 1523416 1713843 2285124 3427686 4570248 5141529 6855372 10283058 13710744 20566116 41132232