Search a number
-
+
28265092560 = 243454361897
BaseRepresentation
bin11010010100101110…
…110001010111010000
32200221211202110210000
4122110232301113100
5430341330430220
620552415010000
72020302215445
oct322456612720
980854673700
1028265092560
1110a949a9431
125589b09900
132885b15c53
141521c779cc
15b0667c390
hex694bb15d0

28265092560 has 100 divisors (see below), whose sum is σ = 98168876388. Its totient is φ = 7537356288.

The previous prime is 28265092439. The next prime is 28265092561. The reversal of 28265092560 is 6529056282.

28265092560 is a `hidden beast` number, since 2 + 82 + 6 + 5 + 0 + 9 + 2 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12470635584 + 15794456976 = 111672^2 + 125676^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28265092561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2174469 + ... + 2187428.

Almost surely, 228265092560 is an apocalyptic number.

28265092560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28265092560 is an abundant number, since it is smaller than the sum of its proper divisors (69903783828).

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

28265092560 is a wasteful number, since it uses less digits than its factorization.

28265092560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4361922 (or 4361907 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 28265092560 in words is "twenty-eight billion, two hundred sixty-five million, ninety-two thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 4361897 8723794 13085691 17447588 21809485 26171382 34895176 39257073 43618970 52342764 65428455 69790352 78514146 87237940 104685528 117771219 130856910 157028292 174475880 196285365 209371056 235542438 261713820 314056584 348951760 353313657 392570730 471084876 523427640 588856095 628113168 706627314 785141460 942169752 1046855280 1177712190 1413254628 1570282920 1766568285 1884339504 2355424380 2826509256 3140565840 3533136570 4710848760 5653018512 7066273140 9421697520 14132546280 28265092560