Search a number
-
+
5318493600 = 253527316577
BaseRepresentation
bin1001111010000000…
…11100010110100000
3111201122200110122110
410331000130112200
541343013243400
62235425435320
7245540310150
oct47500342640
914648613573
105318493600
11228a172a62
12104519bb40
13669b33244
143864ca760
15211db9e50
hex13d01c5a0

5318493600 has 144 divisors (see below), whose sum is σ = 19784858688. Its totient is φ = 1215651840.

The previous prime is 5318493569. The next prime is 5318493601. The reversal of 5318493600 is 63948135.

It is not an unprimeable number, because it can be changed into a prime (5318493601) 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 23 ways as a sum of consecutive naturals, for example, 141489 + ... + 175088.

It is an arithmetic number, because the mean of its divisors is an integer number (137394852).

Almost surely, 25318493600 is an apocalyptic number.

5318493600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5318493600 is an abundant number, since it is smaller than the sum of its proper divisors (14466365088).

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

5318493600 is a wasteful number, since it uses less digits than its factorization.

5318493600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316607 (or 316594 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 5318493600 is about 72928.0028521281. The cubic root of 5318493600 is about 1745.5389615502.

The spelling of 5318493600 in words is "five billion, three hundred eighteen million, four hundred ninety-three thousand, six hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 50 56 60 70 75 80 84 96 100 105 112 120 140 150 160 168 175 200 210 224 240 280 300 336 350 400 420 480 525 560 600 672 700 800 840 1050 1120 1200 1400 1680 2100 2400 2800 3360 4200 5600 8400 16800 316577 633154 949731 1266308 1582885 1899462 2216039 2532616 3165770 3798924 4432078 4748655 5065232 6331540 6648117 7597848 7914425 8864156 9497310 10130464 11080195 12663080 13296234 15195696 15828850 17728312 18994620 22160390 23743275 25326160 26592468 30391392 31657700 33240585 35456624 37989240 44320780 47486550 50652320 53184936 55400975 63315400 66481170 70913248 75978480 88641560 94973100 106369872 110801950 126630800 132962340 151956960 166202925 177283120 189946200 212739744 221603900 253261600 265924680 332405850 354566240 379892400 443207800 531849360 664811700 759784800 886415600 1063698720 1329623400 1772831200 2659246800 5318493600