Search a number
-
+
480936880 = 2456011711
BaseRepresentation
bin11100101010101…
…000001110110000
31020111222010101001
4130222220032300
51441104440010
6115420051344
714626616224
oct3452501660
91214863331
10480936880
11227526aa6
12115093b54
137883c248
1447c32784
152c34ec3a
hex1caa83b0

480936880 has 20 divisors (see below), whose sum is σ = 1118178432. Its totient is φ = 192374720.

The previous prime is 480936857. The next prime is 480936881. The reversal of 480936880 is 88639084.

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

It is a super-3 number, since 3×4809368803 (a number of 27 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 480936880.

It is not an unprimeable number, because it can be changed into a prime (480936881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3005776 + ... + 3005935.

Almost surely, 2480936880 is an apocalyptic number.

480936880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480936880 is an abundant number, since it is smaller than the sum of its proper divisors (637241552).

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

480936880 is a wasteful number, since it uses less digits than its factorization.

480936880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6011724 (or 6011718 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 46.

The square root of 480936880 is about 21930.2731401139. The cubic root of 480936880 is about 783.4826084412.

The spelling of 480936880 in words is "four hundred eighty million, nine hundred thirty-six thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 6011711 12023422 24046844 30058555 48093688 60117110 96187376 120234220 240468440 480936880