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41310096 = 2438310369
BaseRepresentation
bin1001110110010…
…1011110010000
32212201202210120
42131211132100
541033410341
64033230240
71011062412
oct235453620
985652716
1041310096
1121355983
1211a02380
138734c59
1456b49b2
153960066
hex2765790

41310096 has 40 divisors (see below), whose sum is σ = 108013920. Its totient is φ = 13602816.

The previous prime is 41310077. The next prime is 41310097. The reversal of 41310096 is 69001314.

41310096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (41310097) 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 7 ways as a sum of consecutive naturals, for example, 1201 + ... + 9168.

It is an arithmetic number, because the mean of its divisors is an integer number (2700348).

Almost surely, 241310096 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 41310096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54006960).

41310096 is an abundant number, since it is smaller than the sum of its proper divisors (66703824).

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

41310096 is a wasteful number, since it uses less digits than its factorization.

41310096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10463 (or 10457 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 41310096 is about 6427.2930538447. The cubic root of 41310096 is about 345.6888735342.

The spelling of 41310096 in words is "forty-one million, three hundred ten thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 83 166 249 332 498 664 996 1328 1992 3984 10369 20738 31107 41476 62214 82952 124428 165904 248856 497712 860627 1721254 2581881 3442508 5163762 6885016 10327524 13770032 20655048 41310096