Search a number
-
+
4482949680 = 243251119313
BaseRepresentation
bin1000010110011010…
…00110001000110000
3102120102110102212100
410023031012020300
533140113342210
62020501100400
7216043305066
oct41315061060
912512412770
104482949680
1119a05654a0
12a513b7700
135659b6b61
1430754c036
151b38715c0
hex10b346230

4482949680 has 480 divisors, whose sum is σ = 17864570880. Its totient is φ = 996364800.

The previous prime is 4482949663. The next prime is 4482949687. The reversal of 4482949680 is 869492844.

It is not an unprimeable number, because it can be changed into a prime (4482949687) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 144611265 + ... + 144611295.

It is an arithmetic number, because the mean of its divisors is an integer number (37217856).

Almost surely, 24482949680 is an apocalyptic number.

4482949680 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 4482949680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8932285440).

4482949680 is an abundant number, since it is smaller than the sum of its proper divisors (13381621200).

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

4482949680 is a wasteful number, since it uses less digits than its factorization.

4482949680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The square root of 4482949680 is about 66954.8331339867. The cubic root of 4482949680 is about 1648.8758403346.

The spelling of 4482949680 in words is "four billion, four hundred eighty-two million, nine hundred forty-nine thousand, six hundred eighty".