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2887984 = 241161269
BaseRepresentation
bin1011000001000100110000
312102201120101
423001010300
51214403414
6141522144
733355531
oct13010460
95381511
102887984
1116a2870
12b73354
137a1688
14552688
153c0a74
hex2c1130

2887984 has 40 divisors (see below), whose sum is σ = 6227280. Its totient is φ = 1286400.

The previous prime is 2887979. The next prime is 2887987. The reversal of 2887984 is 4897882.

It is not an unprimeable number, because it can be changed into a prime (2887987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10602 + ... + 10870.

It is an arithmetic number, because the mean of its divisors is an integer number (155682).

22887984 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 2887984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3113640).

2887984 is an abundant number, since it is smaller than the sum of its proper divisors (3339296).

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

2887984 is a wasteful number, since it uses less digits than its factorization.

2887984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 343 counting only the distinct ones).

The product of its digits is 258048, while the sum is 46.

The square root of 2887984 is about 1699.4069553818. The cubic root of 2887984 is about 142.4070841908.

The spelling of 2887984 in words is "two million, eight hundred eighty-seven thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 44 61 88 122 176 244 269 488 538 671 976 1076 1342 2152 2684 2959 4304 5368 5918 10736 11836 16409 23672 32818 47344 65636 131272 180499 262544 360998 721996 1443992 2887984