Search a number
-
+
482380080 = 243571321699
BaseRepresentation
bin11100110000001…
…000100100110000
31020121200110001220
4130300020210300
51441442130310
6115511025040
714645106630
oct3460104460
91217613056
10482380080
11228322326
1211566b180
1378c26100
14480ca6c0
152c537670
hex1cc08930

482380080 has 240 divisors, whose sum is σ = 1851667200. Its totient is φ = 101716992.

The previous prime is 482380079. The next prime is 482380099. The reversal of 482380080 is 80083284.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 283071 + ... + 284769.

It is an arithmetic number, because the mean of its divisors is an integer number (7715280).

Almost surely, 2482380080 is an apocalyptic number.

482380080 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 482380080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925833600).

482380080 is an abundant number, since it is smaller than the sum of its proper divisors (1369287120).

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

482380080 is a wasteful number, since it uses less digits than its factorization.

482380080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1748 (or 1729 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 482380080 is about 21963.1527791435. The cubic root of 482380080 is about 784.2655198807.

The spelling of 482380080 in words is "four hundred eighty-two million, three hundred eighty thousand, eighty".