Search a number
-
+
480008080 = 2456000101
BaseRepresentation
bin11100100111000…
…101011110010000
31020110012221022001
4130213011132100
51440340224310
6115344123344
714616000316
oct3447053620
91213187261
10480008080
11226a521a2
12114906554
13785a5566
1447a700b6
152c21993a
hex1c9c5790

480008080 has 20 divisors (see below), whose sum is σ = 1116018972. Its totient is φ = 192003200.

The previous prime is 480008059. The next prime is 480008083. The reversal of 480008080 is 80800084.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 376049664 + 103958416 = 19392^2 + 10196^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (480008083) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2999971 + ... + 3000130.

Almost surely, 2480008080 is an apocalyptic number.

480008080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480008080 is an abundant number, since it is smaller than the sum of its proper divisors (636010892).

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

480008080 is a wasteful number, since it uses less digits than its factorization.

480008080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6000114 (or 6000108 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The square root of 480008080 is about 21909.0866993583. The cubic root of 480008080 is about 782.9779215606.

The spelling of 480008080 in words is "four hundred eighty million, eight thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 6000101 12000202 24000404 30000505 48000808 60001010 96001616 120002020 240004040 480008080