Search a number
-
+
2576896 = 297719
BaseRepresentation
bin1001110101001000000000
311211220211121
421311020000
51124430041
6131122024
730621550
oct11651000
94756747
102576896
111500073
12a43314
136c2bba
144b1160
1535d7d1
hex275200

2576896 has 40 divisors (see below), whose sum is σ = 5892480. Its totient is φ = 1102848.

The previous prime is 2576879. The next prime is 2576909. The reversal of 2576896 is 6986752.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 3225 + ... + 3943.

It is an arithmetic number, because the mean of its divisors is an integer number (147312).

22576896 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 2576896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2946240).

2576896 is an abundant number, since it is smaller than the sum of its proper divisors (3315584).

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

2576896 is an frugal number, since it uses more digits than its factorization.

2576896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 728 counting only the distinct ones).

The product of its digits is 181440, while the sum is 43.

The square root of 2576896 is about 1605.2713166316. The cubic root of 2576896 is about 137.0983718151.

The spelling of 2576896 in words is "two million, five hundred seventy-six thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 719 896 1438 1792 2876 3584 5033 5752 10066 11504 20132 23008 40264 46016 80528 92032 161056 184064 322112 368128 644224 1288448 2576896