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41281728 = 2632111019
BaseRepresentation
bin1001110101111…
…0100011000000
32212200022212220
42131132203000
541032003403
64032451040
71010613615
oct235364300
985608786
1041281728
1121336634
12119a9a80
138725077
1456a850c
153956953
hex275e8c0

41281728 has 56 divisors (see below), whose sum is σ = 109849920. Its totient is φ = 13681920.

The previous prime is 41281717. The next prime is 41281741. The reversal of 41281728 is 82718214.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40003 + ... + 41021.

Almost surely, 241281728 is an apocalyptic number.

41281728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41281728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54924960).

41281728 is an abundant number, since it is smaller than the sum of its proper divisors (68568192).

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

41281728 is a wasteful number, since it uses less digits than its factorization.

41281728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1245 (or 1235 counting only the distinct ones).

The product of its digits is 7168, while the sum is 33.

The square root of 41281728 is about 6425.0858360025. The cubic root of 41281728 is about 345.6097262352.

The spelling of 41281728 in words is "forty-one million, two hundred eighty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 211 422 633 844 1019 1266 1688 2038 2532 3057 3376 4076 5064 6114 6752 8152 10128 12228 13504 16304 20256 24456 32608 40512 48912 65216 97824 195648 215009 430018 645027 860036 1290054 1720072 2580108 3440144 5160216 6880288 10320432 13760576 20640864 41281728