Search a number
-
+
2449728 = 26324253
BaseRepresentation
bin1001010110000101000000
311121110101200
421112011000
51111342403
6124301200
726552031
oct11260500
94543350
102449728
111423576
129a1800
1367a058
1447aa88
15335ca3
hex256140

2449728 has 42 divisors (see below), whose sum is σ = 7023354. Its totient is φ = 816384.

The previous prime is 2449693. The next prime is 2449729. The reversal of 2449728 is 8279442.

It can be written as a sum of positive squares in only one way, i.e., 1617984 + 831744 = 1272^2 + 912^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2449692 and 2449701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2449729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1551 + ... + 2702.

22449728 is an apocalyptic number.

It is an amenable number.

2449728 is an abundant number, since it is smaller than the sum of its proper divisors (4573626).

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

2449728 is a wasteful number, since it uses less digits than its factorization.

2449728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4271 (or 4258 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 2449728 is about 1565.1606946253. The cubic root of 2449728 is about 134.8049859180.

The spelling of 2449728 in words is "two million, four hundred forty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 4253 8506 12759 17012 25518 34024 38277 51036 68048 76554 102072 136096 153108 204144 272192 306216 408288 612432 816576 1224864 2449728