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2162048 = 27719127
BaseRepresentation
bin1000001111110110000000
311001211202212
420033312000
51023141143
6114201252
724243230
oct10176600
94054685
102162048
111247419
12883228
135a9125
14403cc0
152ca918
hex20fd80

2162048 has 64 divisors (see below), whose sum is σ = 5222400. Its totient is φ = 870912.

The previous prime is 2162003. The next prime is 2162057. The reversal of 2162048 is 8402612.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16961 + ... + 17087.

It is an arithmetic number, because the mean of its divisors is an integer number (81600).

22162048 is an apocalyptic number.

2162048 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 2162048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2611200).

2162048 is an abundant number, since it is smaller than the sum of its proper divisors (3060352).

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

2162048 is a wasteful number, since it uses less digits than its factorization.

2162048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 2162048 is about 1470.3904243431. The cubic root of 2162048 is about 129.3069229619.

The spelling of 2162048 in words is "two million, one hundred sixty-two thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 127 128 133 152 224 254 266 304 448 508 532 608 889 896 1016 1064 1216 1778 2032 2128 2413 2432 3556 4064 4256 4826 7112 8128 8512 9652 14224 16256 16891 17024 19304 28448 33782 38608 56896 67564 77216 113792 135128 154432 270256 308864 540512 1081024 2162048