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41831328 = 2537115659
BaseRepresentation
bin1001111110010…
…0101110100000
32220201020210110
42133210232200
541202100303
64052331320
71015363140
oct237445640
986636713
1041831328
1121681550
1212013b40
138888286
1457ac920
153a14703
hex27e4ba0

41831328 has 96 divisors (see below), whose sum is σ = 136926720. Its totient is φ = 10863360.

The previous prime is 41831327. The next prime is 41831341. The reversal of 41831328 is 82313814.

41831328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 41831295 and 41831304.

It is not an unprimeable number, because it can be changed into a prime (41831327) by changing a digit.

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, 4563 + ... + 10221.

It is an arithmetic number, because the mean of its divisors is an integer number (1426320).

Almost surely, 241831328 is an apocalyptic number.

41831328 is a gapful number since it is divisible by the number (48) 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 41831328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68463360).

41831328 is an abundant number, since it is smaller than the sum of its proper divisors (95095392).

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

41831328 is a wasteful number, since it uses less digits than its factorization.

41831328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5690 (or 5682 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 41831328 is about 6467.7142794035. The cubic root of 41831328 is about 347.1367160811.

The spelling of 41831328 in words is "forty-one million, eight hundred thirty-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 66 77 84 88 96 112 132 154 168 176 224 231 264 308 336 352 462 528 616 672 924 1056 1232 1848 2464 3696 5659 7392 11318 16977 22636 33954 39613 45272 62249 67908 79226 90544 118839 124498 135816 158452 181088 186747 237678 248996 271632 316904 373494 435743 475356 497992 543264 633808 746988 871486 950712 995984 1267616 1307229 1493976 1742972 1901424 1991968 2614458 2987952 3485944 3802848 5228916 5975904 6971888 10457832 13943776 20915664 41831328