Search a number
-
+
2798848 = 2813292
BaseRepresentation
bin1010101011010100000000
312021012022001
422223110000
51204030343
6135553344
732534623
oct12532400
95235261
102798848
1116418a8
12b2b854
1376cc30
1452bdba
153a444d
hex2ab500

2798848 has 54 divisors (see below), whose sum is σ = 6231134. Its totient is φ = 1247232.

The previous prime is 2798837. The next prime is 2798849. The reversal of 2798848 is 8488972.

It can be written as a sum of positive squares in 3 ways, for example, as 135424 + 2663424 = 368^2 + 1632^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2798798 and 2798807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2798849) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 96498 + ... + 96526.

22798848 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 2798848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3115567).

2798848 is an abundant number, since it is smaller than the sum of its proper divisors (3432286).

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

2798848 is an equidigital number, since it uses as much as digits as its factorization.

2798848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 44 counting only the distinct ones).

The product of its digits is 258048, while the sum is 46.

The square root of 2798848 is about 1672.9757918153. The cubic root of 2798848 is about 140.9266422561.

It can be divided in two parts, 2 and 798848, that multiplied together give a square (1597696 = 12642).

The spelling of 2798848 in words is "two million, seven hundred ninety-eight thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 64 104 116 128 208 232 256 377 416 464 754 832 841 928 1508 1664 1682 1856 3016 3328 3364 3712 6032 6728 7424 10933 12064 13456 21866 24128 26912 43732 48256 53824 87464 96512 107648 174928 215296 349856 699712 1399424 2798848