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4765005 = 325722161
BaseRepresentation
bin10010001011010101001101
322222002100200
4102023111031
52204440010
6250044113
755334100
oct22132515
98862320
104765005
112765023
121719639
13caab3b
148c0737
15641cc0
hex48b54d

4765005 has 36 divisors (see below), whose sum is σ = 9612252. Its totient is φ = 2177280.

The previous prime is 4765003. The next prime is 4765021. The reversal of 4765005 is 5005674.

4765005 is a `hidden beast` number, since 4 + 7 + 650 + 0 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2350089 + 2414916 = 1533^2 + 1554^2 .

It is not a de Polignac number, because 4765005 - 21 = 4765003 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 4765005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4765003) 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 35 ways as a sum of consecutive naturals, for example, 1125 + ... + 3285.

It is an arithmetic number, because the mean of its divisors is an integer number (267007).

Almost surely, 24765005 is an apocalyptic number.

4765005 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4765005 is an abundant number, since it is smaller than the sum of its proper divisors (4847247).

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

4765005 is a wasteful number, since it uses less digits than its factorization.

4765005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2186 (or 2176 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 4765005 is about 2182.8891405658. The cubic root of 4765005 is about 168.2755893392.

The spelling of 4765005 in words is "four million, seven hundred sixty-five thousand, five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 315 441 735 2161 2205 6483 10805 15127 19449 32415 45381 75635 97245 105889 136143 226905 317667 529445 680715 953001 1588335 4765005