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9852975 = 3352111327
BaseRepresentation
bin100101100101…
…100000101111
3200112120202000
4211211200233
510010243400
6551103343
7146514606
oct45454057
920476660
109852975
11561a760
123371b53
13206c982
141446a3d
15ce9600
hex96582f

9852975 has 48 divisors (see below), whose sum is σ = 19760640. Its totient is φ = 4773600.

The previous prime is 9852967. The next prime is 9852991. The reversal of 9852975 is 5792589.

It is a happy number.

9852975 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 9852975 - 23 = 9852967 is a prime.

It is a super-2 number, since 2×98529752 = 194162232701250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 9852975.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6762 + ... + 8088.

It is an arithmetic number, because the mean of its divisors is an integer number (411680).

Almost surely, 29852975 is an apocalyptic number.

9852975 is an abundant number, since it is smaller than the sum of its proper divisors (9907665).

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

9852975 is a wasteful number, since it uses less digits than its factorization.

9852975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1357 (or 1346 counting only the distinct ones).

The product of its digits is 226800, while the sum is 45.

The square root of 9852975 is about 3138.9448864228. The cubic root of 9852975 is about 214.3823992267.

The spelling of 9852975 in words is "nine million, eight hundred fifty-two thousand, nine hundred seventy-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 99 135 165 225 275 297 495 675 825 1327 1485 2475 3981 6635 7425 11943 14597 19905 33175 35829 43791 59715 72985 99525 131373 179145 218955 298575 364925 394119 656865 895725 1094775 1970595 3284325 9852975