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2129248 = 251123263
BaseRepresentation
bin1000000111110101100000
311000011210001
420013311200
51021113443
6113345344
724045502
oct10076540
94004701
102129248
111224810
12868254
13597214
143d5d72
152c0d4d
hex207d60

2129248 has 48 divisors (see below), whose sum is σ = 4790016. Its totient is φ = 922240.

The previous prime is 2129227. The next prime is 2129261. The reversal of 2129248 is 8429212.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

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, 7965 + ... + 8227.

It is an arithmetic number, because the mean of its divisors is an integer number (99792).

22129248 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 2129248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2395008).

2129248 is an abundant number, since it is smaller than the sum of its proper divisors (2660768).

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

2129248 is a wasteful number, since it uses less digits than its factorization.

2129248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 299 counting only the distinct ones).

The product of its digits is 2304, while the sum is 28.

The square root of 2129248 is about 1459.1942982345. The cubic root of 2129248 is about 128.6496915629.

The spelling of 2129248 in words is "two million, one hundred twenty-nine thousand, two hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 88 92 176 184 253 263 352 368 506 526 736 1012 1052 2024 2104 2893 4048 4208 5786 6049 8096 8416 11572 12098 23144 24196 46288 48392 66539 92576 96784 133078 193568 266156 532312 1064624 2129248