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9728505 = 36517157
BaseRepresentation
bin100101000111…
…000111111001
3200022021000000
4211013013321
54442303010
6544303213
7145455663
oct45070771
920267000
109728505
115545196
123311b09
132028117
141413533
15cc27c0
hex9471f9

9728505 has 56 divisors (see below), whose sum is σ = 18650952. Its totient is φ = 4852224.

The previous prime is 9728503. The next prime is 9728519. The reversal of 9728505 is 5058279.

It can be written as a sum of positive squares in 4 ways, for example, as 1225449 + 8503056 = 1107^2 + 2916^2 .

It is not a de Polignac number, because 9728505 - 21 = 9728503 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 9728505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9728503) 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 55 ways as a sum of consecutive naturals, for example, 61887 + ... + 62043.

Almost surely, 29728505 is an apocalyptic number.

It is an amenable number.

9728505 is a deficient number, since it is larger than the sum of its proper divisors (8922447).

9728505 is a wasteful number, since it uses less digits than its factorization.

9728505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 9728505 is about 3119.0551453926. The cubic root of 9728505 is about 213.4758257561.

The spelling of 9728505 in words is "nine million, seven hundred twenty-eight thousand, five hundred five".

Divisors: 1 3 5 9 15 17 27 45 51 81 85 135 153 157 243 255 405 459 471 729 765 785 1215 1377 1413 2295 2355 2669 3645 4131 4239 6885 7065 8007 12393 12717 13345 20655 21195 24021 38151 40035 61965 63585 72063 114453 120105 190755 216189 360315 572265 648567 1080945 1945701 3242835 9728505