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9008575485 = 35713172316879
BaseRepresentation
bin10000110001111001…
…11111001111111101
3212020211020001100220
420120330333033331
5121422143403420
64045525011553
7436145425320
oct103074771775
925224201326
109008575485
113903119108
1218b4b53bb9
13b07493650
146166087b7
1537ad22840
hex218f3f3fd

9008575485 has 128 divisors (see below), whose sum is σ = 19601326080. Its totient is φ = 3422048256.

The previous prime is 9008575463. The next prime is 9008575487. The reversal of 9008575485 is 5845758009.

It is not a de Polignac number, because 9008575485 - 25 = 9008575453 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (51).

Together with 10592750595 it forms an amicable pair .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9008575487) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 525276 + ... + 542154.

It is an arithmetic number, because the mean of its divisors is an integer number (153135360).

Almost surely, 29008575485 is an apocalyptic number.

It is an amenable number.

9008575485 is an abundant number, since it is smaller than the sum of its proper divisors (10592750595).

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

9008575485 is a wasteful number, since it uses less digits than its factorization.

9008575485 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16947.

The product of its (nonzero) digits is 2016000, while the sum is 51.

The square root of 9008575485 is about 94913.5158183491. The cubic root of 9008575485 is about 2080.7442699100.

The spelling of 9008575485 in words is "nine billion, eight million, five hundred seventy-five thousand, four hundred eighty-five".

Divisors: 1 3 5 7 13 15 17 21 23 35 39 51 65 69 85 91 105 115 119 161 195 221 255 273 299 345 357 391 455 483 595 663 805 897 1105 1173 1365 1495 1547 1785 1955 2093 2415 2737 3315 4485 4641 5083 5865 6279 7735 8211 10465 13685 15249 16879 23205 25415 31395 35581 41055 50637 76245 84395 106743 118153 177905 219427 253185 286943 354459 388217 533715 590765 658281 860829 1097135 1164651 1434715 1535989 1772295 1941085 2008601 2717519 3291405 3730259 4304145 4607967 5046821 5823255 6025803 6599689 7679945 8152557 10043005 11190777 13587595 15140463 18651295 19799067 23039835 25234105 26111813 30129015 32998445 35327747 40762785 46197823 55953885 75702315 78335439 85795957 98995335 105983241 130559065 138593469 176638735 230989115 257387871 391677195 428979785 529916205 600571699 692967345 1286939355 1801715097 3002858495 9008575485