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2856988288 = 27711893257
BaseRepresentation
bin1010101001001010…
…0010111010000000
321101002221001011001
42222102202322000
521322342111123
61151255101344
7130540666630
oct25222427200
97332831131
102856988288
111236771650
12678971854
13366b9141b
141d161a6c0
1511ac450ad
hexaa4a2e80

2856988288 has 128 divisors (see below), whose sum is σ = 7178025600. Its totient is φ = 1100267520.

The previous prime is 2856988283. The next prime is 2856988289. The reversal of 2856988288 is 8828896582.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is not an unprimeable number, because it can be changed into a prime (2856988283) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 875556 + ... + 878812.

It is an arithmetic number, because the mean of its divisors is an integer number (56078325).

Almost surely, 22856988288 is an apocalyptic number.

2856988288 is a gapful number since it is divisible by the number (28) 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 2856988288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3589012800).

2856988288 is an abundant number, since it is smaller than the sum of its proper divisors (4321037312).

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

2856988288 is a wasteful number, since it uses less digits than its factorization.

2856988288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3378 (or 3366 counting only the distinct ones).

The product of its digits is 35389440, while the sum is 64.

The square root of 2856988288 is about 53450.8025009915. The cubic root of 2856988288 is about 1418.9578228865.

The spelling of 2856988288 in words is "two billion, eight hundred fifty-six million, nine hundred eighty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 89 112 128 154 176 178 224 308 352 356 448 616 623 704 712 896 979 1232 1246 1408 1424 1958 2464 2492 2848 3257 3916 4928 4984 5696 6514 6853 7832 9856 9968 11392 13028 13706 15664 19936 22799 26056 27412 31328 35827 39872 45598 52112 54824 62656 71654 79744 91196 104224 109648 125312 143308 182392 208448 219296 250789 286616 289873 364784 416896 438592 501578 573232 579746 729568 877184 1003156 1146464 1159492 1459136 2006312 2029111 2292928 2318984 2918272 3188603 4012624 4058222 4585856 4637968 6377206 8025248 8116444 9275936 12754412 16050496 16232888 18551872 22320221 25508824 32100992 32465776 37103744 44640442 51017648 64931552 89280884 102035296 129863104 178561768 204070592 259726208 357123536 408141184 714247072 1428494144 2856988288