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4788420000 = 25354713877
BaseRepresentation
bin1000111010110100…
…10111110110100000
3110100201020221100220
410131122113312200
534301313420000
62111052243040
7226442620110
oct43532276640
913321227326
104788420000
112037a35901
12b17770480
135b407b820
14335d47040
151d05b11a0
hex11d697da0

4788420000 has 480 divisors, whose sum is σ = 19353704832. Its totient is φ = 1009152000.

The previous prime is 4788419983. The next prime is 4788420001. The reversal of 4788420000 is 248874.

It is a tau number, because it is divible by the number of its divisors (480).

It is not an unprimeable number, because it can be changed into a prime (4788420001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5459562 + ... + 5460438.

Almost surely, 24788420000 is an apocalyptic number.

4788420000 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 4788420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9676852416).

4788420000 is an abundant number, since it is smaller than the sum of its proper divisors (14565284832).

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

4788420000 is a wasteful number, since it uses less digits than its factorization.

4788420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 4788420000 is about 69198.4103863665. The cubic root of 4788420000 is about 1685.5077174002.

Adding to 4788420000 its reverse (248874), we get a palindrome (4788668874).

The spelling of 4788420000 in words is "four billion, seven hundred eighty-eight million, four hundred twenty thousand".