Search a number
-
+
48929530848 = 25311214512903
BaseRepresentation
bin101101100100011011…
…010110001111100000
311200021222112201000020
4231210123112033200
51300201424441343
634251121353440
73351343102302
oct554433261740
9150258481006
1048929530848
1119829498800
129596498880
1347ca05b623
1425224bb972
1514158e3b83
hexb646d63e0

48929530848 has 144 divisors (see below), whose sum is σ = 141323833728. Its totient is φ = 14811808000.

The previous prime is 48929530843. The next prime is 48929530889. The reversal of 48929530848 is 84803592984.

48929530848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 48929530791 and 48929530800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48929530843) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16853365 + ... + 16856267.

It is an arithmetic number, because the mean of its divisors is an integer number (981415512).

Almost surely, 248929530848 is an apocalyptic number.

48929530848 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48929530848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70661916864).

48929530848 is an abundant number, since it is smaller than the sum of its proper divisors (92394302880).

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

48929530848 is a wasteful number, since it uses less digits than its factorization.

48929530848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4389 (or 4370 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 60.

The spelling of 48929530848 in words is "forty-eight billion, nine hundred twenty-nine million, five hundred thirty thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 121 132 176 242 264 352 363 484 528 726 968 1056 1451 1452 1936 2902 2903 2904 3872 4353 5804 5806 5808 8706 8709 11608 11612 11616 15961 17412 17418 23216 23224 31922 31933 34824 34836 46432 46448 47883 63844 63866 69648 69672 92896 95766 95799 127688 127732 139296 139344 175571 191532 191598 255376 255464 278688 351142 351263 383064 383196 510752 510928 526713 702284 702526 766128 766392 1021856 1053426 1053789 1404568 1405052 1532256 1532784 2106852 2107578 2809136 2810104 3065568 4212253 4213704 4215156 5618272 5620208 8424506 8427408 8430312 11240416 12636759 16849012 16854816 16860624 25273518 33698024 33721248 46334783 50547036 67396048 92669566 101094072 134792096 139004349 185339132 202188144 278008698 370678264 404376288 509682613 556017396 741356528 1019365226 1112034792 1482713056 1529047839 2038730452 2224069584 3058095678 4077460904 4448139168 6116191356 8154921808 12232382712 16309843616 24464765424 48929530848