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2839984 = 24725357
BaseRepresentation
bin1010110101010110110000
312100021201121
422311112300
51211334414
6140512024
733065560
oct12652660
95307647
102839984
11166a7a4
12b4b614
13785884
1453cda0
153b1724
hex2b55b0

2839984 has 20 divisors (see below), whose sum is σ = 6288784. Its totient is φ = 1217088.

The previous prime is 2839981. The next prime is 2840023. The reversal of 2839984 is 4899382.

It is a happy number.

2839984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2839984.

It is not an unprimeable number, because it can be changed into a prime (2839981) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 12567 + ... + 12790.

22839984 is an apocalyptic number.

It is an amenable number.

2839984 is an abundant number, since it is smaller than the sum of its proper divisors (3448800).

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

2839984 is a wasteful number, since it uses less digits than its factorization.

2839984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25372 (or 25366 counting only the distinct ones).

The product of its digits is 124416, while the sum is 43.

The square root of 2839984 is about 1685.2252075020. The cubic root of 2839984 is about 141.6137090795.

The spelling of 2839984 in words is "two million, eight hundred thirty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 25357 50714 101428 177499 202856 354998 405712 709996 1419992 2839984