Search a number
-
+
485424576 = 26357413
BaseRepresentation
bin11100111011101…
…111110111000000
31020211102010100000
4130323233313000
51443232041301
6120100200000
715013020000
oct3473576700
91224363300
10485424576
1122a01173a
12116699000
1379750aa0
1448680000
152c939786
hex1ceefdc0

485424576 has 420 divisors, whose sum is σ = 1812784792. Its totient is φ = 128024064.

The previous prime is 485424553. The next prime is 485424593. The reversal of 485424576 is 675424584.

485424576 is a `hidden beast` number, since 4 + 8 + 54 + 24 + 576 = 666.

Its product of digits (1075200) is a multiple of the sum of its prime divisors (25).

It is a zygodrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 37340346 + ... + 37340358.

Almost surely, 2485424576 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 485424576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906392396).

485424576 is an abundant number, since it is smaller than the sum of its proper divisors (1327360216).

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

485424576 is an frugal number, since it uses more digits than its factorization.

485424576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 25 counting only the distinct ones).

The product of its digits is 1075200, while the sum is 45.

The square root of 485424576 is about 22032.3529383495. The cubic root of 485424576 is about 785.9119999376.

The spelling of 485424576 in words is "four hundred eighty-five million, four hundred twenty-four thousand, five hundred seventy-six".