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2291648 = 2661587
BaseRepresentation
bin1000101111011111000000
311022102112212
420233133000
51041313043
6121041252
725323122
oct10573700
94272485
102291648
111325827
12926228
13623108
14439212
15304018
hex22f7c0

2291648 has 28 divisors (see below), whose sum is σ = 4629912. Its totient is φ = 1125120.

The previous prime is 2291629. The next prime is 2291657. The reversal of 2291648 is 8461922.

2291648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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, 3611 + ... + 4197.

It is an arithmetic number, because the mean of its divisors is an integer number (165354).

22291648 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 2291648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2314956).

2291648 is an abundant number, since it is smaller than the sum of its proper divisors (2338264).

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

2291648 is an equidigital number, since it uses as much as digits as its factorization.

2291648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 650 counting only the distinct ones).

The product of its digits is 6912, while the sum is 32.

The square root of 2291648 is about 1513.8190116391. The cubic root of 2291648 is about 131.8406402552.

The spelling of 2291648 in words is "two million, two hundred ninety-one thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 32 61 64 122 244 488 587 976 1174 1952 2348 3904 4696 9392 18784 35807 37568 71614 143228 286456 572912 1145824 2291648