Search a number
-
+
4981328000 = 27531123183
BaseRepresentation
bin1001010001110100…
…10000100010000000
3110212011020200101122
410220322100202000
540200204444000
62142143051412
7234304406105
oct45072204200
913764220348
104981328000
112126914500
12b702a0b68
13615021a7c
14353800aac
151e24b9085
hex128e90880

4981328000 has 384 divisors, whose sum is σ = 14221509120. Its totient is φ = 1731840000.

The previous prime is 4981327987. The next prime is 4981328003. The reversal of 4981328000 is 8231894.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4981328003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60015959 + ... + 60016041.

It is an arithmetic number, because the mean of its divisors is an integer number (37035180).

Almost surely, 24981328000 is an apocalyptic number.

4981328000 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 4981328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7110754560).

4981328000 is an abundant number, since it is smaller than the sum of its proper divisors (9240181120).

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

4981328000 is a wasteful number, since it uses less digits than its factorization.

4981328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 4981328000 is about 70578.5236456530. The cubic root of 4981328000 is about 1707.8447134534.

Adding to 4981328000 its reverse (8231894), we get a palindrome (4989559894).

The spelling of 4981328000 in words is "four billion, nine hundred eighty-one million, three hundred twenty-eight thousand".