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41315168 = 2517173439
BaseRepresentation
bin1001110110011…
…0101101100000
32212202000202102
42131212231200
541034041133
64033305532
71011113246
oct235465540
985660672
1041315168
1121359774
1211a052a8
13873735b
1456b6796
1539617e8
hex2766b60

41315168 has 48 divisors (see below), whose sum is σ = 86819040. Its totient is φ = 19286016.

The previous prime is 41315137. The next prime is 41315171. The reversal of 41315168 is 86151314.

41315168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 41315168.

It is a congruent number.

It is an unprimeable number.

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, 93893 + ... + 94331.

It is an arithmetic number, because the mean of its divisors is an integer number (1808730).

Almost surely, 241315168 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 41315168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43409520).

41315168 is an abundant number, since it is smaller than the sum of its proper divisors (45503872).

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

41315168 is a wasteful number, since it uses less digits than its factorization.

41315168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 631 counting only the distinct ones).

The product of its digits is 2880, while the sum is 29.

The square root of 41315168 is about 6427.6876090862. The cubic root of 41315168 is about 345.7030206990.

The spelling of 41315168 in words is "forty-one million, three hundred fifteen thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 17 32 34 68 136 173 272 346 439 544 692 878 1384 1756 2768 2941 3512 5536 5882 7024 7463 11764 14048 14926 23528 29852 47056 59704 75947 94112 119408 151894 238816 303788 607576 1215152 1291099 2430304 2582198 5164396 10328792 20657584 41315168