Search a number
-
+
248788848 = 24371183811
BaseRepresentation
bin11101101010000…
…11011101110000
3122100010210010210
432311003131300
51002142220343
640404224120
76110445630
oct1665033560
9570123123
10248788848
11118486820
126b39b040
133c70a349
14250826c0
1516c95333
hexed43770

248788848 has 160 divisors (see below), whose sum is σ = 811948032. Its totient is φ = 63763200.

The previous prime is 248788847. The next prime is 248788853. The reversal of 248788848 is 848887842.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248788847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 306363 + ... + 307173.

Almost surely, 2248788848 is an apocalyptic number.

248788848 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248788848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405974016).

248788848 is an abundant number, since it is smaller than the sum of its proper divisors (563159184).

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

248788848 is a wasteful number, since it uses less digits than its factorization.

248788848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923 (or 917 counting only the distinct ones).

The product of its digits is 7340032, while the sum is 57.

The square root of 248788848 is about 15773.0418119017. The cubic root of 248788848 is about 628.9415737657.

The spelling of 248788848 in words is "two hundred forty-eight million, seven hundred eighty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 83 84 88 112 132 154 166 168 176 231 249 264 308 332 336 462 498 528 581 616 664 811 913 924 996 1162 1232 1328 1622 1743 1826 1848 1992 2324 2433 2739 3244 3486 3652 3696 3984 4648 4866 5478 5677 6391 6488 6972 7304 8921 9296 9732 10956 11354 12782 12976 13944 14608 17031 17842 19173 19464 21912 22708 25564 26763 27888 34062 35684 38346 38928 43824 45416 51128 53526 62447 67313 68124 71368 76692 90832 102256 107052 124894 134626 136248 142736 153384 187341 201939 214104 249788 269252 272496 306768 374682 403878 428208 471191 499576 538504 740443 749364 807756 942382 999152 1077008 1413573 1480886 1498728 1615512 1884764 2221329 2827146 2961772 2997456 3231024 3769528 4442658 5183101 5654292 5923544 7539056 8885316 10366202 11308584 11847088 15549303 17770632 20732404 22617168 31098606 35541264 41464808 62197212 82929616 124394424 248788848