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2886048 = 253211911
BaseRepresentation
bin1011000000100110100000
312102121220200
423000212200
51214323143
6141505200
733350064
oct13004640
95377820
102886048
1116a1370
12b72200
137a0829
14551aa4
153c01d3
hex2c09a0

2886048 has 72 divisors (see below), whose sum is σ = 8963136. Its totient is φ = 873600.

The previous prime is 2886029. The next prime is 2886049. The reversal of 2886048 is 8406882.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (2886049) 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 11 ways as a sum of consecutive naturals, for example, 2713 + ... + 3623.

It is an arithmetic number, because the mean of its divisors is an integer number (124488).

22886048 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 2886048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4481568).

2886048 is an abundant number, since it is smaller than the sum of its proper divisors (6077088).

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

2886048 is a wasteful number, since it uses less digits than its factorization.

2886048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 2886048 is about 1698.8372494150. The cubic root of 2886048 is about 142.3752555582.

It can be divided in two parts, 28860 and 48, that multiplied together give a triangular number (1385280 = T1664).

The spelling of 2886048 in words is "two million, eight hundred eighty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 911 1056 1584 1822 2733 3168 3644 5466 7288 8199 10021 10932 14576 16398 20042 21864 29152 30063 32796 40084 43728 60126 65592 80168 87456 90189 120252 131184 160336 180378 240504 262368 320672 360756 481008 721512 962016 1443024 2886048