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41298312 = 23311311503
BaseRepresentation
bin1001110110001…
…0100110001000
32212201011122010
42131202212020
541033021222
64033055520
71011013146
oct235424610
985634563
1041298312
1121348040
12119b75a0
13872c793
1456b0596
15395b80c
hex2762988

41298312 has 64 divisors (see below), whose sum is σ = 113218560. Its totient is φ = 12449600.

The previous prime is 41298311. The next prime is 41298329. The reversal of 41298312 is 21389214.

It is a self number, because there is not a number n which added to its sum of digits gives 41298312.

It is not an unprimeable number, because it can be changed into a prime (41298311) 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, 81853 + ... + 82355.

It is an arithmetic number, because the mean of its divisors is an integer number (1769040).

Almost surely, 241298312 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 41298312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56609280).

41298312 is an abundant number, since it is smaller than the sum of its proper divisors (71920248).

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

41298312 is a wasteful number, since it uses less digits than its factorization.

41298312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 830 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 41298312 is about 6426.3762728306. The cubic root of 41298312 is about 345.6560003346.

The spelling of 41298312 in words is "forty-one million, two hundred ninety-eight thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 311 503 622 933 1006 1244 1509 1866 2012 2488 3018 3421 3732 4024 5533 6036 6842 7464 10263 11066 12072 13684 16599 20526 22132 27368 33198 41052 44264 66396 82104 132792 156433 312866 469299 625732 938598 1251464 1720763 1877196 3441526 3754392 5162289 6883052 10324578 13766104 20649156 41298312