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2800424 = 23113263
BaseRepresentation
bin1010101011101100101000
312021021110102
422223230220
51204103144
6140004532
732542334
oct12535450
95237412
102800424
111643000
12b30748
13770873
1452c7c4
153a4b4e
hex2abb28

2800424 has 32 divisors (see below), whose sum is σ = 5797440. Its totient is φ = 1268080.

The previous prime is 2800403. The next prime is 2800439. The reversal of 2800424 is 4240082.

2800424 = T207 + T208 + ... + T294.

2800424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2800396 and 2800405.

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 7 ways as a sum of consecutive naturals, for example, 10517 + ... + 10779.

It is an arithmetic number, because the mean of its divisors is an integer number (181170).

22800424 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 2800424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2898720).

2800424 is an abundant number, since it is smaller than the sum of its proper divisors (2997016).

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

2800424 is a wasteful number, since it uses less digits than its factorization.

2800424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 2800424 is about 1673.4467425048. The cubic root of 2800424 is about 140.9530886981.

The spelling of 2800424 in words is "two million, eight hundred thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 22 44 88 121 242 263 484 526 968 1052 1331 2104 2662 2893 5324 5786 10648 11572 23144 31823 63646 127292 254584 350053 700106 1400212 2800424