Search a number
-
+
41080832 = 211131543
BaseRepresentation
bin1001110010110…
…1100000000000
32212022010022022
42130231200000
541004041312
64024301012
71006116122
oct234554000
985263268
1041080832
1121209701
1211911768
1386847b0
145655212
153917172
hex272d800

41080832 has 48 divisors (see below), whose sum is σ = 88517520. Its totient is φ = 18948096.

The previous prime is 41080801. The next prime is 41080847. The reversal of 41080832 is 23808014.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 41080832 = 723 + 3443 = 1863 + 3263.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25853 + ... + 27395.

It is an arithmetic number, because the mean of its divisors is an integer number (1844115).

Almost surely, 241080832 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 41080832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44258760).

41080832 is an abundant number, since it is smaller than the sum of its proper divisors (47436688).

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

41080832 is a wasteful number, since it uses less digits than its factorization.

41080832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1578 (or 1558 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 41080832 is about 6409.4330482501. The cubic root of 41080832 is about 345.0481820265.

Adding to 41080832 its reverse (23808014), we get a palindrome (64888846).

The spelling of 41080832 in words is "forty-one million, eighty thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1024 1543 1664 2048 3086 3328 6172 6656 12344 13312 20059 24688 26624 40118 49376 80236 98752 160472 197504 320944 395008 641888 790016 1283776 1580032 2567552 3160064 5135104 10270208 20540416 41080832