Search a number
-
+
485568576 = 26322941709
BaseRepresentation
bin11100111100010…
…011000001000000
31020211200102212100
4130330103001000
51443301143301
6120103230400
715014156553
oct3474230100
91224612770
10485568576
1122a0aa949
12116748400
13797a14ac
14486ba69a
152c967286
hex1cf13040

485568576 has 168 divisors, whose sum is σ = 1476984600. Its totient is φ = 152248320.

The previous prime is 485568539. The next prime is 485568581. The reversal of 485568576 is 675865584.

485568576 is a `hidden beast` number, since 4 + 8 + 5 + 5 + 68 + 576 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3326976 + 482241600 = 1824^2 + 21960^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 684510 + ... + 685218.

It is an arithmetic number, because the mean of its divisors is an integer number (8791575).

Almost surely, 2485568576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 485568576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738492300).

485568576 is an abundant number, since it is smaller than the sum of its proper divisors (991416024).

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

485568576 is a wasteful number, since it uses less digits than its factorization.

485568576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 784 counting only the distinct ones).

The product of its digits is 8064000, while the sum is 54.

The square root of 485568576 is about 22035.6206175365. The cubic root of 485568576 is about 785.9897052048.

The spelling of 485568576 in words is "four hundred eighty-five million, five hundred sixty-eight thousand, five hundred seventy-six".