Search a number
-
+
4983456000 = 28353233761
BaseRepresentation
bin1001010010000100…
…11000000100000000
3110212022020210110110
410221002120010000
540201231043000
62142300431320
7234331451145
oct45102300400
913768223413
104983456000
112128038286
12b70b48540
136155b8543
14353bd63cc
151e2789850
hex129098100

4983456000 has 576 divisors, whose sum is σ = 18029846016. Its totient is φ = 1216512000.

The previous prime is 4983455993. The next prime is 4983456011. The reversal of 4983456000 is 6543894.

It is a self number, because there is not a number n which added to its sum of digits gives 4983456000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 81695970 + ... + 81696030.

It is an arithmetic number, because the mean of its divisors is an integer number (31301816).

Almost surely, 24983456000 is an apocalyptic number.

4983456000 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 4983456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9014923008).

4983456000 is an abundant number, since it is smaller than the sum of its proper divisors (13046390016).

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

4983456000 is a wasteful number, since it uses less digits than its factorization.

4983456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 4983456000 is about 70593.5974433943. The cubic root of 4983456000 is about 1708.0878732531.

Adding to 4983456000 its reverse (6543894), we get a palindrome (4989999894).

The spelling of 4983456000 in words is "four billion, nine hundred eighty-three million, four hundred fifty-six thousand".