Search a number
-
+
2838208 = 2661727
BaseRepresentation
bin1010110100111011000000
312100012021211
422310323000
51211310313
6140455504
733060442
oct12647300
95305254
102838208
11166942a
12b4a594
13784b19
1453c492
153b0e3d
hex2b4ec0

2838208 has 28 divisors (see below), whose sum is σ = 5732272. Its totient is φ = 1393920.

The previous prime is 2838191. The next prime is 2838211. The reversal of 2838208 is 8028382.

It is a self number, because there is not a number n which added to its sum of digits gives 2838208.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3541 + ... + 4267.

It is an arithmetic number, because the mean of its divisors is an integer number (204724).

22838208 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 2838208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2866136).

2838208 is an abundant number, since it is smaller than the sum of its proper divisors (2894064).

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

2838208 is an equidigital number, since it uses as much as digits as its factorization.

2838208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 2838208 is about 1684.6981925556. The cubic root of 2838208 is about 141.5841832802.

The spelling of 2838208 in words is "two million, eight hundred thirty-eight thousand, two hundred eight".

Divisors: 1 2 4 8 16 32 61 64 122 244 488 727 976 1454 1952 2908 3904 5816 11632 23264 44347 46528 88694 177388 354776 709552 1419104 2838208