Search a number
-
+
2891728 = 24725819
BaseRepresentation
bin1011000001111111010000
312102220201001
423001333100
51220013403
6141551344
733402460
oct13017720
95386631
102891728
1116a5664
12b75554
137a32a8
14553ba0
153c1c1d
hex2c1fd0

2891728 has 20 divisors (see below), whose sum is σ = 6403360. Its totient is φ = 1239264.

The previous prime is 2891701. The next prime is 2891729. The reversal of 2891728 is 8271982.

2891728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2891729) 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 3 ways as a sum of consecutive naturals, for example, 12798 + ... + 13021.

It is an arithmetic number, because the mean of its divisors is an integer number (320168).

22891728 is an apocalyptic number.

2891728 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2891728 is an abundant number, since it is smaller than the sum of its proper divisors (3511632).

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

2891728 is a wasteful number, since it uses less digits than its factorization.

2891728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25834 (or 25828 counting only the distinct ones).

The product of its digits is 16128, while the sum is 37.

The square root of 2891728 is about 1700.5081593453. The cubic root of 2891728 is about 142.4685967530.

It can be divided in two parts, 289172 and 8, that added together give a triangular number (289180 = T760).

The spelling of 2891728 in words is "two million, eight hundred ninety-one thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 112 25819 51638 103276 180733 206552 361466 413104 722932 1445864 2891728