Search a number
-
+
881998112 = 25232931243
BaseRepresentation
bin110100100100100…
…011100100100000
32021110122010221202
4310210203210200
53301242414422
6223304140332
730566601032
oct6444434440
92243563852
10881998112
11412957266
122074676a8
13110962898
14851d1c52
1552672b92
hex34923920

881998112 has 144 divisors (see below), whose sum is σ = 1981869120. Its totient is φ = 384975360.

The previous prime is 881998087. The next prime is 881998133. The reversal of 881998112 is 211899188.

Its product of digits (82944) is a multiple of the sum of its prime divisors (128).

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 23 ways as a sum of consecutive naturals, for example, 20511563 + ... + 20511605.

It is an arithmetic number, because the mean of its divisors is an integer number (13762980).

Almost surely, 2881998112 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 881998112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990934560).

881998112 is an abundant number, since it is smaller than the sum of its proper divisors (1099871008).

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

881998112 is a wasteful number, since it uses less digits than its factorization.

881998112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 128 counting only the distinct ones).

The product of its digits is 82944, while the sum is 47.

The square root of 881998112 is about 29698.4530236846. The cubic root of 881998112 is about 959.0087105499.

The spelling of 881998112 in words is "eight hundred eighty-one million, nine hundred ninety-eight thousand, one hundred twelve".

Divisors: 1 2 4 8 16 23 29 31 32 43 46 58 62 86 92 116 124 172 184 232 248 344 368 464 496 667 688 713 736 899 928 961 989 992 1247 1333 1334 1376 1426 1798 1922 1978 2494 2666 2668 2852 3596 3844 3956 4988 5332 5336 5704 7192 7688 7912 9976 10664 10672 11408 14384 15376 15824 19952 20677 21328 21344 22103 22816 27869 28681 28768 30659 30752 31648 38657 39904 41323 41354 42656 44206 55738 57362 61318 77314 82646 82708 88412 111476 114724 122636 154628 165292 165416 176824 222952 229448 245272 309256 330584 330832 353648 445904 458896 490544 618512 640987 661168 661664 707296 889111 891808 917792 950429 981088 1198367 1237024 1281974 1322336 1778222 1900858 2396734 2563948 3556444 3801716 4793468 5127896 7112888 7603432 9586936 10255792 14225776 15206864 19173872 20511584 27562441 28451552 30413728 38347744 55124882 110249764 220499528 440999056 881998112