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3765825 = 33527797
BaseRepresentation
bin1110010111011001000001
321002022202000
432113121001
51431001300
6212414213
744003040
oct16273101
97068660
103765825
112142358
121317369
13a1b0cb
14700557
154e5c00
hex397641

3765825 has 48 divisors (see below), whose sum is σ = 7916160. Its totient is φ = 1719360.

The previous prime is 3765799. The next prime is 3765829. The reversal of 3765825 is 5285673.

3765825 is a `hidden beast` number, since 3 + 76 + 582 + 5 = 666.

3765825 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3765825 - 26 = 3765761 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3765825.

It is not an unprimeable number, because it can be changed into a prime (3765829) 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, 4327 + ... + 5123.

It is an arithmetic number, because the mean of its divisors is an integer number (164920).

Almost surely, 23765825 is an apocalyptic number.

3765825 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3765825 is an abundant number, since it is smaller than the sum of its proper divisors (4150335).

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

3765825 is a wasteful number, since it uses less digits than its factorization.

3765825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 812 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 3765825 is about 1940.5733688784. The cubic root of 3765825 is about 155.5798606202.

The spelling of 3765825 in words is "three million, seven hundred sixty-five thousand, eight hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 105 135 175 189 225 315 525 675 797 945 1575 2391 3985 4725 5579 7173 11955 16737 19925 21519 27895 35865 50211 59775 83685 107595 139475 150633 179325 251055 418425 537975 753165 1255275 3765825