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248335668 = 223273183383
BaseRepresentation
bin11101100110101…
…00110100110100
3122022021202111100
432303110310310
51002033220133
640350410100
76103550460
oct1663246464
9568252440
10248335668
111181a7299
126b200930
133c5abca9
1424da54a0
1516c05e13
hexecd4d34

248335668 has 144 divisors (see below), whose sum is σ = 751435776. Its totient is φ = 67659840.

The previous prime is 248335651. The next prime is 248335709. The reversal of 248335668 is 866533842.

It is a happy number.

248335668 is a `hidden beast` number, since 2 + 4 + 83 + 3 + 566 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 648205 + ... + 648587.

It is an arithmetic number, because the mean of its divisors is an integer number (5218304).

Almost surely, 2248335668 is an apocalyptic number.

248335668 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 248335668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375717888).

248335668 is an abundant number, since it is smaller than the sum of its proper divisors (503100108).

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

248335668 is a wasteful number, since it uses less digits than its factorization.

248335668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 509 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 248335668 is about 15758.6696138982. The cubic root of 248335668 is about 628.5594599354.

The spelling of 248335668 in words is "two hundred forty-eight million, three hundred thirty-five thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 83 84 93 124 126 166 186 217 249 252 279 332 372 383 434 498 558 581 651 747 766 868 996 1116 1149 1162 1302 1494 1532 1743 1953 2298 2324 2573 2604 2681 2988 3447 3486 3906 4596 5146 5229 5362 6894 6972 7719 7812 8043 10292 10458 10724 11873 13788 15438 16086 18011 20916 23157 23746 24129 30876 31789 32172 35619 36022 46314 47492 48258 54033 63578 71238 72044 83111 92628 95367 96516 106857 108066 127156 142476 162099 166222 190734 213714 216132 222523 249333 286101 324198 332444 381468 427428 445046 498666 572202 648396 667569 747999 890092 985459 997332 1144404 1335138 1495998 1970918 2002707 2670276 2956377 2991996 3941836 4005414 5912754 6898213 8010828 8869131 11825508 13796426 17738262 20694639 27592852 35476524 41389278 62083917 82778556 124167834 248335668