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41055104 = 27417823
BaseRepresentation
bin1001110010011…
…1001110000000
32212020211000102
42130213032000
541002230404
64023541532
71005651116
oct234471600
985224012
1041055104
11211a1342
12118ba8a8
138675b7c
145649ab6
15390e71e
hex2727380

41055104 has 32 divisors (see below), whose sum is σ = 83795040. Its totient is φ = 20024320.

The previous prime is 41055083. The next prime is 41055107. The reversal of 41055104 is 40155014.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41055107) 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 3 ways as a sum of consecutive naturals, for example, 1337 + ... + 9159.

It is an arithmetic number, because the mean of its divisors is an integer number (2618595).

Almost surely, 241055104 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 41055104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41897520).

41055104 is an abundant number, since it is smaller than the sum of its proper divisors (42739936).

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

41055104 is an equidigital number, since it uses as much as digits as its factorization.

41055104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7878 (or 7866 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 41055104 is about 6407.4256921169. The cubic root of 41055104 is about 344.9761350152.

The spelling of 41055104 in words is "forty-one million, fifty-five thousand, one hundred four".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 328 656 1312 2624 5248 7823 15646 31292 62584 125168 250336 320743 500672 641486 1001344 1282972 2565944 5131888 10263776 20527552 41055104