Search a number
-
+
485315712 = 27367743
BaseRepresentation
bin11100111011010…
…101010010000000
31020211012121000000
4130323111102000
51443220100322
6120054000000
715012054420
oct3473252200
91224177000
10485315712
11229a47972
12116646000
137971337b
1448652480
152c9173ac
hex1ced5480

485315712 has 224 divisors, whose sum is σ = 1658911680. Its totient is φ = 138475008.

The previous prime is 485315707. The next prime is 485315713. The reversal of 485315712 is 217513584.

485315712 is a `hidden beast` number, since 4 + 85 + 3 + 1 + 571 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (485315713) 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 27 ways as a sum of consecutive naturals, for example, 652813 + ... + 653555.

Almost surely, 2485315712 is an apocalyptic number.

485315712 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 485315712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829455840).

485315712 is an abundant number, since it is smaller than the sum of its proper divisors (1173595968).

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

485315712 is an frugal number, since it uses more digits than its factorization.

485315712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 755 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 485315712 is about 22029.8822511606. The cubic root of 485315712 is about 785.8532445546.

The spelling of 485315712 in words is "four hundred eighty-five million, three hundred fifteen thousand, seven hundred twelve".