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2948288 = 2676581
BaseRepresentation
bin1011001111110011000000
312112210021212
423033303000
51223321123
6143105252
734026410
oct13176300
95483255
102948288
111734102
12ba2228
137c2c65
1456a640
153d3878
hex2cfcc0

2948288 has 28 divisors (see below), whose sum is σ = 6687312. Its totient is φ = 1263360.

The previous prime is 2948279. The next prime is 2948299. The reversal of 2948288 is 8828492.

2948288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (28).

It is an unprimeable number.

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, 2843 + ... + 3738.

22948288 is an apocalyptic number.

2948288 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2948288 is an abundant number, since it is smaller than the sum of its proper divisors (3739024).

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

2948288 is an equidigital number, since it uses as much as digits as its factorization.

2948288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6600 (or 6590 counting only the distinct ones).

The product of its digits is 73728, while the sum is 41.

The square root of 2948288 is about 1717.0579489347. The cubic root of 2948288 is about 143.3914649127.

The spelling of 2948288 in words is "two million, nine hundred forty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 6581 13162 26324 46067 52648 92134 105296 184268 210592 368536 421184 737072 1474144 2948288