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248139810 = 232519312151
BaseRepresentation
bin11101100101001…
…01000000100010
3122021220210211100
432302211000202
51002010433220
640342255230
76102103452
oct1662450042
9567823740
10248139810
11118083126
126b127516
133c540ab9
1424d53d62
1516bb7d90
hexeca5022

248139810 has 144 divisors (see below), whose sum is σ = 706380480. Its totient is φ = 60264000.

The previous prime is 248139809. The next prime is 248139833. The reversal of 248139810 is 18931842.

It is a super-2 number, since 2×2481398102 = 123146730613672200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1643235 + ... + 1643385.

It is an arithmetic number, because the mean of its divisors is an integer number (4905420).

Almost surely, 2248139810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248139810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353190240).

248139810 is an abundant number, since it is smaller than the sum of its proper divisors (458240670).

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

248139810 is a wasteful number, since it uses less digits than its factorization.

248139810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 248139810 is about 15752.4540945213. The cubic root of 248139810 is about 628.3941718553.

The spelling of 248139810 in words is "two hundred forty-eight million, one hundred thirty-nine thousand, eight hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 31 38 45 57 62 90 93 95 114 151 155 171 186 190 279 285 302 310 342 453 465 558 570 589 755 855 906 930 961 1178 1359 1395 1510 1710 1767 1922 2265 2718 2790 2869 2883 2945 3534 4530 4681 4805 5301 5738 5766 5890 6795 8607 8649 8835 9362 9610 10602 13590 14043 14345 14415 17214 17298 17670 18259 23405 25821 26505 28086 28690 28830 36518 42129 43035 43245 46810 51642 53010 54777 70215 84258 86070 86490 88939 91295 109554 129105 140430 145111 164331 177878 182590 210645 258210 266817 273885 290222 328662 421290 435333 444695 533634 547770 725555 800451 821655 870666 889390 1305999 1334085 1451110 1600902 1643310 2176665 2611998 2668170 2757109 4002255 4353330 5514218 6529995 8004510 8271327 13059990 13785545 16542654 24813981 27571090 41356635 49627962 82713270 124069905 248139810