Search a number
-
+
479360672 = 2572140003
BaseRepresentation
bin11100100100100…
…111011010100000
31020102000001012222
4130210213122200
51440204020142
6115322210212
714610332660
oct3444473240
91212001188
10479360672
1122664a84a
12114653968
137840998b
14479421a0
152c13cbd2
hex1c9276a0

479360672 has 24 divisors (see below), whose sum is σ = 1078562016. Its totient is φ = 205440192.

The previous prime is 479360659. The next prime is 479360677. The reversal of 479360672 is 276063974.

It is a happy number.

It is a super-3 number, since 3×4793606723 (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (479360677) 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, 1069778 + ... + 1070225.

It is an arithmetic number, because the mean of its divisors is an integer number (44940084).

Almost surely, 2479360672 is an apocalyptic number.

It is an amenable number.

479360672 is an abundant number, since it is smaller than the sum of its proper divisors (599201344).

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

479360672 is a wasteful number, since it uses less digits than its factorization.

479360672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2140020 (or 2140012 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 44.

The square root of 479360672 is about 21894.3068399070. The cubic root of 479360672 is about 782.6257509355.

The spelling of 479360672 in words is "four hundred seventy-nine million, three hundred sixty thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 2140003 4280006 8560012 14980021 17120024 29960042 34240048 59920084 68480096 119840168 239680336 479360672