Search a number
-
+
4823040000 = 214354157
BaseRepresentation
bin1000111110111100…
…11100000000000000
3110110010101211002010
410133132130000000
534334144240000
62114330252520
7230343110052
oct43736340000
913403354063
104823040000
112055531379
12b27287140
135bb2b062c
1433a7998d2
151d364dd50
hex11f79c000

4823040000 has 300 divisors, whose sum is σ = 16173529064. Its totient is φ = 1277952000.

The previous prime is 4823039999. The next prime is 4823040007. The reversal of 4823040000 is 403284.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (300).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4823040007) 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 19 ways as a sum of consecutive naturals, for example, 30719922 + ... + 30720078.

Almost surely, 24823040000 is an apocalyptic number.

4823040000 is a gapful number since it is divisible by the number (40) 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 4823040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8086764532).

4823040000 is an abundant number, since it is smaller than the sum of its proper divisors (11350489064).

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

4823040000 is an frugal number, since it uses more digits than its factorization.

4823040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 4823040000 is about 69448.1101254743. The cubic root of 4823040000 is about 1689.5600082362.

Adding to 4823040000 its reverse (403284), we get a palindrome (4823443284).

The spelling of 4823040000 in words is "four billion, eight hundred twenty-three million, forty thousand".