Search a number
-
+
2479048 = 2311213197
BaseRepresentation
bin1001011101001111001000
311122221121121
421131033020
51113312143
6125045024
730033355
oct11351710
94587547
102479048
111443600
129b6774
1368a4c0
1448762c
1533e7ed
hex25d3c8

2479048 has 48 divisors (see below), whose sum is σ = 5530140. Its totient is φ = 1034880.

The previous prime is 2479031. The next prime is 2479049. The reversal of 2479048 is 8409742.

It is a happy number.

2479048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2439844 + 39204 = 1562^2 + 198^2 .

It is a super-2 number, since 2×24790482 = 12291357972608, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2479049) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 12486 + ... + 12682.

22479048 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 2479048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2765070).

2479048 is an abundant number, since it is smaller than the sum of its proper divisors (3051092).

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

2479048 is a wasteful number, since it uses less digits than its factorization.

2479048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 2479048 is about 1574.4992854873. The cubic root of 2479048 is about 135.3406668247.

The spelling of 2479048 in words is "two million, four hundred seventy-nine thousand, forty-eight".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 121 143 197 242 286 394 484 572 788 968 1144 1573 1576 2167 2561 3146 4334 5122 6292 8668 10244 12584 17336 20488 23837 28171 47674 56342 95348 112684 190696 225368 309881 619762 1239524 2479048