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480104676 = 223213336241
BaseRepresentation
bin11100100111011…
…101000011100100
31020110101211210200
4130213131003210
51440401322201
6115350150500
714616552042
oct3447350344
91213354720
10480104676
11227008827
12114952430
137860a50c
1447a97392
152c238386
hex1c9dd0e4

480104676 has 18 divisors (see below), whose sum is σ = 1213598022. Its totient is φ = 160034880.

The previous prime is 480104621. The next prime is 480104699. The reversal of 480104676 is 676401084.

480104676 is a `hidden beast` number, since 480 + 104 + 6 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 461390400 + 18714276 = 21480^2 + 4326^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 13336241 = 480104676 / (4 + 8 + 0 + 1 + 0 + 4 + 6 + 7 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 480104676.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6668085 + ... + 6668156.

Almost surely, 2480104676 is an apocalyptic number.

It is an amenable number.

480104676 is an abundant number, since it is smaller than the sum of its proper divisors (733493346).

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

480104676 is a wasteful number, since it uses less digits than its factorization.

480104676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13336251 (or 13336246 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 480104676 is about 21911.2910619160. The cubic root of 480104676 is about 783.0304397477.

The spelling of 480104676 in words is "four hundred eighty million, one hundred four thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 13336241 26672482 40008723 53344964 80017446 120026169 160034892 240052338 480104676