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41055600 = 2435234213
BaseRepresentation
bin1001110010011…
…1010101110000
32212020211200210
42130213111300
541002234400
64023544120
71005652425
oct234472560
985224623
1041055600
11211a1753
12118bb040
138676171
145649d4c
15390e950
hex2727570

41055600 has 60 divisors (see below), whose sum is σ = 131518616. Its totient is φ = 10947840.

The previous prime is 41055593. The next prime is 41055601. The reversal of 41055600 is 655014.

It is a happy number.

41055600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41055601) 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 11 ways as a sum of consecutive naturals, for example, 15907 + ... + 18306.

Almost surely, 241055600 is an apocalyptic number.

41055600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41055600 is an abundant number, since it is smaller than the sum of its proper divisors (90463016).

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

41055600 is a wasteful number, since it uses less digits than its factorization.

41055600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34234 (or 34223 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 41055600 is about 6407.4643970919. The cubic root of 41055600 is about 344.9775242657.

The spelling of 41055600 in words is "forty-one million, fifty-five thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 34213 68426 102639 136852 171065 205278 273704 342130 410556 513195 547408 684260 821112 855325 1026390 1368520 1642224 1710650 2052780 2565975 2737040 3421300 4105560 5131950 6842600 8211120 10263900 13685200 20527800 41055600