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2857288 = 237237197
BaseRepresentation
bin1010111001100101001000
312101011110111
422321211020
51212413123
6141124104
733200200
oct12714510
95334414
102857288
1116817a5
12b59634
13790705
14545400
153b690d
hex2b9948

2857288 has 48 divisors (see below), whose sum is σ = 6433020. Its totient is φ = 1185408.

The previous prime is 2857259. The next prime is 2857297. The reversal of 2857288 is 8827582.

It can be written as a sum of positive squares in 2 ways, for example, as 2079364 + 777924 = 1442^2 + 882^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2857288.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14406 + ... + 14602.

22857288 is an apocalyptic number.

2857288 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 2857288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3216510).

2857288 is an abundant number, since it is smaller than the sum of its proper divisors (3575732).

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

2857288 is a wasteful number, since it uses less digits than its factorization.

2857288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 243 counting only the distinct ones).

The product of its digits is 71680, while the sum is 40.

The square root of 2857288 is about 1690.3514427479. The cubic root of 2857288 is about 141.9007439683.

The spelling of 2857288 in words is "two million, eight hundred fifty-seven thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 14 28 37 49 56 74 98 148 196 197 259 296 392 394 518 788 1036 1379 1576 1813 2072 2758 3626 5516 7252 7289 9653 11032 14504 14578 19306 29156 38612 51023 58312 77224 102046 204092 357161 408184 714322 1428644 2857288