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881768112 = 2431923127331
BaseRepresentation
bin110100100011101…
…011011010110000
32021110012110110020
4310203223122300
53301213034422
6223255203440
730564622341
oct6443533260
92243173406
10881768112
1141280a485
12207376580
131108b1ca4
14851720c8
155262995c
hex348eb6b0

881768112 has 160 divisors (see below), whose sum is σ = 2529361920. Its totient is φ = 263450880.

The previous prime is 881768101. The next prime is 881768119. The reversal of 881768112 is 211867188.

881768112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (881768119) 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, 2663787 + ... + 2664117.

It is an arithmetic number, because the mean of its divisors is an integer number (15808512).

Almost surely, 2881768112 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 881768112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1264680960).

881768112 is an abundant number, since it is smaller than the sum of its proper divisors (1647593808).

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

881768112 is a wasteful number, since it uses less digits than its factorization.

881768112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 505 counting only the distinct ones).

The product of its digits is 43008, while the sum is 42.

The square root of 881768112 is about 29694.5805156429. The cubic root of 881768112 is about 958.9253425789.

The spelling of 881768112 in words is "eight hundred eighty-one million, seven hundred sixty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 23 24 38 46 48 57 69 76 92 114 127 138 152 184 228 254 276 304 331 368 381 437 456 508 552 662 762 874 912 993 1016 1104 1311 1324 1524 1748 1986 2032 2413 2622 2648 2921 3048 3496 3972 4826 5244 5296 5842 6096 6289 6992 7239 7613 7944 8763 9652 10488 11684 12578 14478 15226 15888 17526 18867 19304 20976 22839 23368 25156 28956 30452 35052 37734 38608 42037 45678 46736 50312 55499 57912 60904 70104 75468 84074 91356 100624 110998 115824 121808 126111 140208 144647 150936 166497 168148 182712 221996 252222 289294 301872 332994 336296 365424 433941 443992 504444 578588 665988 672592 798703 867882 887984 966851 1008888 1157176 1331976 1597406 1735764 1933702 2017776 2314352 2396109 2663952 2900553 3194812 3471528 3867404 4792218 5801106 6389624 6943056 7734808 9584436 11602212 12779248 15469616 18370169 19168872 23204424 36740338 38337744 46408848 55110507 73480676 110221014 146961352 220442028 293922704 440884056 881768112