Search a number
-
+
2773440000 = 293454107
BaseRepresentation
bin1010010101001111…
…0101011000000000
321011021201100110000
42211103311120000
521140000040000
61135112240000
7125504564622
oct24523653000
97137640400
102773440000
1111a3597581
126549a0000
1335278ac76
141c44acc12
15113740000
hexa54f5600

2773440000 has 500 divisors, whose sum is σ = 10440848484. Its totient is φ = 732672000.

The previous prime is 2773439987. The next prime is 2773440001. The reversal of 2773440000 is 443772.

It is a tau number, because it is divible by the number of its divisors (500).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2773440001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 25919947 + ... + 25920053.

Almost surely, 22773440000 is an apocalyptic number.

2773440000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2773440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5220424242).

2773440000 is an abundant number, since it is smaller than the sum of its proper divisors (7667408484).

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

2773440000 is an frugal number, since it uses more digits than its factorization.

2773440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 2773440000 is about 52663.4598179801. The cubic root of 2773440000 is about 1404.9890029238.

Adding to 2773440000 its reverse (443772), we get a palindrome (2773883772).

The spelling of 2773440000 in words is "two billion, seven hundred seventy-three million, four hundred forty thousand".