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248335048 = 2313172331197
BaseRepresentation
bin11101100110101…
…00101011001000
3122022021201122101
432303110223020
51002033210143
640350403144
76103545613
oct1663245310
9568251571
10248335048
111181a6885
126b2004b4
133c5ab920
1424da517a
1516c05b4d
hexecd4ac8

248335048 has 128 divisors (see below), whose sum is σ = 574801920. Its totient is φ = 99348480.

The previous prime is 248335039. The next prime is 248335093. The reversal of 248335048 is 840533842.

248335048 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 = 248334998 and 248335016.

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, 1260486 + ... + 1260682.

It is an arithmetic number, because the mean of its divisors is an integer number (4490640).

Almost surely, 2248335048 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 248335048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287400960).

248335048 is an abundant number, since it is smaller than the sum of its proper divisors (326466872).

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

248335048 is a wasteful number, since it uses less digits than its factorization.

248335048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

The square root of 248335048 is about 15758.6499421746. The cubic root of 248335048 is about 628.5589368434.

The spelling of 248335048 in words is "two hundred forty-eight million, three hundred thirty-five thousand, forty-eight".

Divisors: 1 2 4 8 13 17 23 26 31 34 46 52 62 68 92 104 124 136 184 197 221 248 299 391 394 403 442 527 598 713 782 788 806 884 1054 1196 1426 1564 1576 1612 1768 2108 2392 2561 2852 3128 3224 3349 4216 4531 5083 5122 5704 6107 6698 6851 9062 9269 10166 10244 12121 12214 13396 13702 18124 18538 20332 20488 24242 24428 26792 27404 36248 37076 40664 43537 48484 48856 54808 58903 74152 77027 79391 87074 96968 103819 117806 140461 154054 157573 158782 174148 207638 235612 280922 308108 315146 317564 348296 415276 471224 561844 616216 630292 635128 830552 1001351 1123688 1260584 1349647 1825993 2002702 2387837 2699294 3651986 4005404 4775674 5398588 7303972 8010808 9551348 10797176 14607944 19102696 31041881 62083762 124167524 248335048