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2802828 = 223761547
BaseRepresentation
bin1010101100010010001100
312021101202110
422230102030
51204142303
6140024020
732552340
oct12542214
95241673
102802828
111644896
12b32010
137719a2
1452d620
153a5703
hex2ac48c

2802828 has 48 divisors (see below), whose sum is σ = 7610624. Its totient is φ = 786240.

The previous prime is 2802797. The next prime is 2802847. The reversal of 2802828 is 8282082.

2802828 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

2802828 is a modest number, since divided by 2828 gives 280 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 2802795 and 2802804.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4851 + ... + 5397.

22802828 is an apocalyptic number.

2802828 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 2802828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3805312).

2802828 is an abundant number, since it is smaller than the sum of its proper divisors (4807796).

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

2802828 is a wasteful number, since it uses less digits than its factorization.

2802828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 2802828 is about 1674.1648664334. The cubic root of 2802828 is about 140.9934104863.

The spelling of 2802828 in words is "two million, eight hundred two thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 61 84 122 183 244 366 427 547 732 854 1094 1281 1641 1708 2188 2562 3282 3829 5124 6564 7658 11487 15316 22974 33367 45948 66734 100101 133468 200202 233569 400404 467138 700707 934276 1401414 2802828