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889966896 = 243713673041
BaseRepresentation
bin110101000010111…
…101000100110000
32022000122000001220
4311002331010300
53310312420041
6224151025040
731024410450
oct6502750460
92260560056
10889966896
114173aa335
1220a06b180
131124c2a40
14862a7d60
15531e8d66
hex350bd130

889966896 has 160 divisors (see below), whose sum is σ = 2872816128. Its totient is φ = 231137280.

The previous prime is 889966843. The next prime is 889966901. The reversal of 889966896 is 698669988.

It is a self number, because there is not a number n which added to its sum of digits gives 889966896.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 291136 + ... + 294176.

Almost surely, 2889966896 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 889966896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436408064).

889966896 is an abundant number, since it is smaller than the sum of its proper divisors (1982849232).

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

889966896 is a wasteful number, since it uses less digits than its factorization.

889966896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3139 (or 3133 counting only the distinct ones).

The product of its digits is 80621568, while the sum is 69.

The square root of 889966896 is about 29832.3129508927. The cubic root of 889966896 is about 961.8882453388. Note that the first 3 decimals are identical.

The spelling of 889966896 in words is "eight hundred eighty-nine million, nine hundred sixty-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 67 78 84 91 104 112 134 156 168 182 201 208 268 273 312 336 364 402 469 536 546 624 728 804 871 938 1072 1092 1407 1456 1608 1742 1876 2184 2613 2814 3041 3216 3484 3752 4368 5226 5628 6082 6097 6968 7504 9123 10452 11256 12164 12194 13936 18246 18291 20904 21287 22512 24328 24388 36492 36582 39533 41808 42574 48656 48776 63861 72984 73164 79066 85148 97552 118599 127722 145968 146328 158132 170296 203747 237198 255444 276731 292656 316264 340592 407494 474396 510888 553462 611241 632528 814988 830193 948792 1021776 1106924 1222482 1426229 1629976 1660386 1897584 2213848 2444964 2648711 2852458 3259952 3320772 4278687 4427696 4889928 5297422 5704916 6641544 7946133 8557374 9779856 10594844 11409832 13283088 15892266 17114748 18540977 21189688 22819664 31784532 34229496 37081954 42379376 55622931 63569064 68458992 74163908 111245862 127138128 148327816 222491724 296655632 444983448 889966896