Search a number
-
+
48628488944 = 24723163179647
BaseRepresentation
bin101101010010011110…
…111101101011110000
311122112000002012011002
4231102132331223300
51244042343121234
634201205141132
73341026223150
oct552236755360
9148460065132
1048628488944
1119694572542
1295116ba7a8
13477c887519
1424d4516760
1513e927b27e
hexb527bdaf0

48628488944 has 160 divisors (see below), whose sum is σ = 113855569920. Its totient is φ = 19671227136.

The previous prime is 48628488929. The next prime is 48628488977. The reversal of 48628488944 is 44988482684.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75159629 + ... + 75160275.

It is an arithmetic number, because the mean of its divisors is an integer number (711597312).

Almost surely, 248628488944 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 48628488944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56927784960).

48628488944 is an abundant number, since it is smaller than the sum of its proper divisors (65227080976).

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

48628488944 is a wasteful number, since it uses less digits than its factorization.

48628488944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027 (or 1021 counting only the distinct ones).

The product of its digits is 113246208, while the sum is 65.

The spelling of 48628488944 in words is "forty-eight billion, six hundred twenty-eight million, four hundred eighty-eight thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 92 112 161 163 179 184 322 326 358 368 644 647 652 716 1141 1253 1288 1294 1304 1432 2282 2506 2576 2588 2608 2864 3749 4117 4529 4564 5012 5176 7498 8234 9058 9128 10024 10352 14881 14996 16468 18116 18256 20048 26243 28819 29177 29762 29992 32936 36232 52486 57638 58354 59524 59984 65872 72464 104167 104972 105461 115276 115813 116708 119048 204239 208334 209944 210922 230552 231626 233416 238096 408478 416668 419888 421844 461104 463252 466832 671071 738227 810691 816956 833336 843688 926504 1342142 1476454 1621382 1633912 1666672 1687376 1853008 2425603 2663699 2684284 2952908 3242764 3267824 4697497 4851206 5327398 5368568 5905816 6485528 9394994 9702412 10654796 10737136 11811632 12971056 16979221 18645893 18789988 18877519 19404824 21309592 33958442 37291786 37579976 37755038 38809648 42619184 67916884 74583572 75159952 75510076 132142633 135833768 149167144 151020152 264285266 271667536 298334288 302040304 434182937 528570532 868365874 1057141064 1736731748 2114282128 3039280559 3473463496 6078561118 6946926992 12157122236 24314244472 48628488944