Search a number
-
+
48505743328 = 2578910722739
BaseRepresentation
bin101101001011001010…
…101110011111100000
311122012110010001211011
4231023022232133200
51243314432241303
634141102230304
73335006005210
oct551312563740
9148173101734
1048505743328
1119631255989
129498585394
13476030b993
1424c20c4240
1513dd5d216d
hexb4b2ae7e0

48505743328 has 96 divisors (see below), whose sum is σ = 111400531200. Its totient is φ = 20361606144.

The previous prime is 48505743241. The next prime is 48505743343. The reversal of 48505743328 is 82334750584.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2121783 + ... + 2144521.

It is an arithmetic number, because the mean of its divisors is an integer number (1160422200).

Almost surely, 248505743328 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 48505743328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55700265600).

48505743328 is an abundant number, since it is smaller than the sum of its proper divisors (62894787872).

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

48505743328 is a wasteful number, since it uses less digits than its factorization.

48505743328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22952 (or 22944 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 49.

The spelling of 48505743328 in words is "forty-eight billion, five hundred five million, seven hundred forty-three thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 89 107 112 178 214 224 356 428 623 712 749 856 1246 1424 1498 1712 2492 2848 2996 3424 4984 5992 9523 9968 11984 19046 19936 22739 23968 38092 45478 66661 76184 90956 133322 152368 159173 181912 266644 304736 318346 363824 533288 636692 727648 1066576 1273384 2023771 2133152 2433073 2546768 4047542 4866146 5093536 8095084 9732292 14166397 16190168 17031511 19464584 28332794 32380336 34063022 38929168 56665588 64760672 68126044 77858336 113331176 136252088 216543497 226662352 272504176 433086994 453324704 545008352 866173988 1515804479 1732347976 3031608958 3464695952 6063217916 6929391904 12126435832 24252871664 48505743328