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9795825 = 32521317197
BaseRepresentation
bin100101010111…
…100011110001
3200102200100100
4211113203301
510001431300
6545543013
7146156154
oct45274361
920380310
109795825
115590826
123344a69
13204c960
14142dc9b
15cd7700
hex9578f1

9795825 has 72 divisors (see below), whose sum is σ = 20108088. Its totient is φ = 4515840.

The previous prime is 9795809. The next prime is 9795827. The reversal of 9795825 is 5285979.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 651249 + 9144576 = 807^2 + 3024^2 .

It is not a de Polignac number, because 9795825 - 24 = 9795809 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (9795827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 49627 + ... + 49823.

It is an arithmetic number, because the mean of its divisors is an integer number (279279).

Almost surely, 29795825 is an apocalyptic number.

It is an amenable number.

9795825 is an abundant number, since it is smaller than the sum of its proper divisors (10312263).

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

9795825 is a wasteful number, since it uses less digits than its factorization.

9795825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 235 counting only the distinct ones).

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

The square root of 9795825 is about 3129.8282700493. The cubic root of 9795825 is about 213.9671026963.

The spelling of 9795825 in words is "nine million, seven hundred ninety-five thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 13 15 17 25 39 45 51 65 75 85 117 153 195 197 221 225 255 325 425 585 591 663 765 975 985 1105 1275 1773 1989 2561 2925 2955 3315 3349 3825 4925 5525 7683 8865 9945 10047 12805 14775 16575 16745 23049 30141 38415 43537 44325 49725 50235 64025 83725 115245 130611 150705 192075 217685 251175 391833 576225 653055 753525 1088425 1959165 3265275 9795825