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41104384 = 210137293
BaseRepresentation
bin1001110011001…
…1010000000000
32212100022121121
42130303100000
541010320014
64025002024
71006244566
oct234632000
985308547
1041104384
1121225372
1211923314
138692429
14565da36
15391e124
hex2733400

41104384 has 44 divisors (see below), whose sum is σ = 83050884. Its totient is φ = 20332544.

The previous prime is 41104369. The next prime is 41104387. The reversal of 41104384 is 48340114.

It can be written as a sum of positive squares in 2 ways, for example, as 32809984 + 8294400 = 5728^2 + 2880^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41104387) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 140142 + ... + 140434.

Almost surely, 241104384 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 41104384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41525442).

41104384 is an abundant number, since it is smaller than the sum of its proper divisors (41946500).

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

41104384 is a wasteful number, since it uses less digits than its factorization.

41104384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 41104384 is about 6411.2700769816. The cubic root of 41104384 is about 345.1141091420.

Adding to 41104384 its reverse (48340114), we get a palindrome (89444498).

The spelling of 41104384 in words is "forty-one million, one hundred four thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 128 137 256 274 293 512 548 586 1024 1096 1172 2192 2344 4384 4688 8768 9376 17536 18752 35072 37504 40141 70144 75008 80282 140288 150016 160564 300032 321128 642256 1284512 2569024 5138048 10276096 20552192 41104384