Search a number
-
+
5728638300 = 22352711247993
BaseRepresentation
bin1010101010111010…
…00001010101011100
3112210020102222101220
411111131001111130
543213012411200
62344240333340
7261650423250
oct52535012534
915706388356
105728638300
11247a737820
12113a614250
13703ab7208
143c4b72260
15237dd44a0
hex15574155c

5728638300 has 144 divisors (see below), whose sum is σ = 20664844032. Its totient is φ = 1190361600.

The previous prime is 5728638299. The next prime is 5728638317. The reversal of 5728638300 is 38368275.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 100897 + ... + 147096.

Almost surely, 25728638300 is an apocalyptic number.

5728638300 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5728638300 is an abundant number, since it is smaller than the sum of its proper divisors (14936205732).

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

5728638300 is a wasteful number, since it uses less digits than its factorization.

5728638300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248028 (or 248021 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 5728638300 is about 75687.7684966336. The cubic root of 5728638300 is about 1789.3026319183.

The spelling of 5728638300 in words is "five billion, seven hundred twenty-eight million, six hundred thirty-eight thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 25 28 30 33 35 42 44 50 55 60 66 70 75 77 84 100 105 110 132 140 150 154 165 175 210 220 231 275 300 308 330 350 385 420 462 525 550 660 700 770 825 924 1050 1100 1155 1540 1650 1925 2100 2310 3300 3850 4620 5775 7700 11550 23100 247993 495986 743979 991972 1239965 1487958 1735951 2479930 2727923 2975916 3471902 3719895 4959860 5207853 5455846 6199825 6943804 7439790 8183769 8679755 10415706 10911692 12399650 13639615 14879580 16367538 17359510 18599475 19095461 20831412 24799300 26039265 27279230 32735076 34719020 37198950 38190922 40918845 43398775 52078530 54558460 57286383 68198075 74397900 76381844 81837690 86797550 95477305 104157060 114572766 130196325 136396150 163675380 173595100 190954610 204594225 229145532 260392650 272792300 286431915 381909220 409188450 477386525 520785300 572863830 818376900 954773050 1145727660 1432159575 1909546100 2864319150 5728638300