Search a number
-
+
5793155328 = 28319478447
BaseRepresentation
bin1010110010100110…
…01000100100000000
3112221201211210010110
411121103020210000
543331021432303
62354503231320
7263363002452
oct53123104400
915851753113
105793155328
1125030a3384
121158148540
1371428617c
143cd5682d2
1523d8ca703
hex1594c8900

5793155328 has 144 divisors (see below), whose sum is σ = 16577003520. Its totient is φ = 1790281728.

The previous prime is 5793155321. The next prime is 5793155341. The reversal of 5793155328 is 8235513975.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (5793155321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 681601 + ... + 690047.

It is an arithmetic number, because the mean of its divisors is an integer number (115118080).

Almost surely, 25793155328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5793155328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8288501760).

5793155328 is an abundant number, since it is smaller than the sum of its proper divisors (10783848192).

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

5793155328 is a wasteful number, since it uses less digits than its factorization.

5793155328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8532 (or 8518 counting only the distinct ones).

The product of its digits is 1134000, while the sum is 48.

The square root of 5793155328 is about 76112.7803197334. The cubic root of 5793155328 is about 1795.9947288467.

The spelling of 5793155328 in words is "five billion, seven hundred ninety-three million, one hundred fifty-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 47 48 57 64 76 94 96 114 128 141 152 188 192 228 256 282 304 376 384 456 564 608 752 768 893 912 1128 1216 1504 1786 1824 2256 2432 2679 3008 3572 3648 4512 4864 5358 6016 7144 7296 8447 9024 10716 12032 14288 14592 16894 18048 21432 25341 28576 33788 36096 42864 50682 57152 67576 85728 101364 114304 135152 160493 171456 202728 228608 270304 320986 342912 397009 405456 481479 540608 641972 685824 794018 810912 962958 1081216 1191027 1283944 1588036 1621824 1925916 2162432 2382054 2567888 3176072 3243648 3851832 4764108 5135776 6352144 6487296 7543171 7703664 9528216 10271552 12704288 15086342 15407328 19056432 20543104 22629513 25408576 30172684 30814656 38112864 41086208 45259026 50817152 60345368 61629312 76225728 90518052 101634304 120690736 123258624 152451456 181036104 241381472 304902912 362072208 482762944 724144416 965525888 1448288832 1931051776 2896577664 5793155328