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248775296 = 2771143587
BaseRepresentation
bin11101101010000…
…00001010000000
3122100010002112212
432311000022000
51002141302141
640404041252
76110361260
oct1665001200
9570102485
10248775296
11118477620
126b393228
133c704123
142507b7a0
1516c912eb
hexed40280

248775296 has 128 divisors (see below), whose sum is σ = 633346560. Its totient is φ = 94510080.

The previous prime is 248775287. The next prime is 248775323. The reversal of 248775296 is 692577842.

248775296 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 423515 + ... + 424101.

It is an arithmetic number, because the mean of its divisors is an integer number (4948020).

Almost surely, 2248775296 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 248775296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316673280).

248775296 is an abundant number, since it is smaller than the sum of its proper divisors (384571264).

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

248775296 is a wasteful number, since it uses less digits than its factorization.

248775296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 650 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 50.

The square root of 248775296 is about 15772.6122123128. The cubic root of 248775296 is about 628.9301536785.

The spelling of 248775296 in words is "two hundred forty-eight million, seven hundred seventy-five thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 43 44 56 64 77 86 88 112 128 154 172 176 224 301 308 344 352 448 473 587 602 616 688 704 896 946 1174 1204 1232 1376 1408 1892 2348 2408 2464 2752 3311 3784 4109 4696 4816 4928 5504 6457 6622 7568 8218 9392 9632 9856 12914 13244 15136 16436 18784 19264 25241 25828 26488 30272 32872 37568 38528 45199 50482 51656 52976 60544 65744 75136 90398 100964 103312 105952 131488 176687 180796 201928 206624 211904 262976 277651 353374 361592 403856 413248 423808 525952 555302 706748 723184 807712 826496 1110604 1413496 1446368 1615424 1943557 2221208 2826992 2892736 3230848 3887114 4442416 5653984 5785472 7774228 8884832 11307968 15548456 17769664 22615936 31096912 35539328 62193824 124387648 248775296