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5628105 = 3257171051
BaseRepresentation
bin10101011110000011001001
3101120221022100
4111132003021
52420044410
6320344013
765560320
oct25360311
911527270
105628105
1131a452a
121a75009
131220952
14a670b7
157628c0
hex55e0c9

5628105 has 48 divisors (see below), whose sum is σ = 11816064. Its totient is φ = 2419200.

The previous prime is 5628101. The next prime is 5628113. The reversal of 5628105 is 5018265.

5628105 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 5628105 - 22 = 5628101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5628101) 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 47 ways as a sum of consecutive naturals, for example, 4830 + ... + 5880.

It is an arithmetic number, because the mean of its divisors is an integer number (246168).

Almost surely, 25628105 is an apocalyptic number.

It is an amenable number.

5628105 is an abundant number, since it is smaller than the sum of its proper divisors (6187959).

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

5628105 is a wasteful number, since it uses less digits than its factorization.

5628105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 5628105 is about 2372.3627462932. The cubic root of 5628105 is about 177.8773826236.

The spelling of 5628105 in words is "five million, six hundred twenty-eight thousand, one hundred five".

Divisors: 1 3 5 7 9 15 17 21 35 45 51 63 85 105 119 153 255 315 357 595 765 1051 1071 1785 3153 5255 5355 7357 9459 15765 17867 22071 36785 47295 53601 66213 89335 110355 125069 160803 268005 331065 375207 625345 804015 1125621 1876035 5628105