Search a number
-
+
830871888 = 243711415483
BaseRepresentation
bin110001100001100…
…001100101010000
32010220102122221220
4301201201211100
53200200400023
6214240245040
726406203010
oct6141414520
92126378856
10830871888
11397007390
121b2310780
131031a1992
147c4c3c40
154ce243e3
hex31861950

830871888 has 160 divisors (see below), whose sum is σ = 2741824512. Its totient is φ = 210508800.

The previous prime is 830871859. The next prime is 830871893. The reversal of 830871888 is 888178038.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 830871888.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 148795 + ... + 154277.

Almost surely, 2830871888 is an apocalyptic number.

830871888 is a gapful number since it is divisible by the number (88) 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 830871888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1370912256).

830871888 is an abundant number, since it is smaller than the sum of its proper divisors (1910952624).

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

830871888 is a wasteful number, since it uses less digits than its factorization.

830871888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5553 (or 5547 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 51.

The square root of 830871888 is about 28824.8484471298. The cubic root of 830871888 is about 940.1085916496.

The spelling of 830871888 in words is "eight hundred thirty million, eight hundred seventy-one thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 41 42 44 48 56 66 77 82 84 88 112 123 132 154 164 168 176 231 246 264 287 308 328 336 451 462 492 528 574 616 656 861 902 924 984 1148 1232 1353 1722 1804 1848 1968 2296 2706 3157 3444 3608 3696 4592 5412 5483 6314 6888 7216 9471 10824 10966 12628 13776 16449 18942 21648 21932 25256 32898 37884 38381 43864 50512 60313 65796 75768 76762 87728 115143 120626 131592 151536 153524 180939 224803 230286 241252 263184 307048 361878 422191 449606 460572 482504 614096 674409 723756 844382 899212 921144 965008 1266573 1348818 1447512 1573621 1688764 1798424 1842288 2472833 2533146 2697636 2895024 3147242 3377528 3596848 4720863 4945666 5066292 5395272 6294484 6755056 7418499 9441726 9891332 10132584 10790544 12588968 14836998 17309831 18883452 19782664 20265168 25177936 29673996 34619662 37766904 39565328 51929493 59347992 69239324 75533808 103858986 118695984 138478648 207717972 276957296 415435944 830871888