Search a number
-
+
482663808 = 27321141929
BaseRepresentation
bin11100110001001…
…101110110000000
31020122012212021100
4130301031312000
51442030220213
6115521054400
714650401054
oct3461156600
91218185240
10482663808
112284a6510
12115787400
1378cc52b3
1448161c64
152c591773
hex1cc4dd80

482663808 has 192 divisors, whose sum is σ = 1553806800. Its totient is φ = 142540800.

The previous prime is 482663807. The next prime is 482663827. The reversal of 482663808 is 808366284.

It is a happy number.

482663808 is a `hidden beast` number, since 4 + 8 + 2 + 6 + 638 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (482663807) 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 23 ways as a sum of consecutive naturals, for example, 519088 + ... + 520016.

Almost surely, 2482663808 is an apocalyptic number.

482663808 is a gapful number since it is divisible by the number (48) 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 482663808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776903400).

482663808 is an abundant number, since it is smaller than the sum of its proper divisors (1071142992).

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

482663808 is a wasteful number, since it uses less digits than its factorization.

482663808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 482663808 is about 21969.6110115769. The cubic root of 482663808 is about 784.4192537542.

The spelling of 482663808 in words is "four hundred eighty-two million, six hundred sixty-three thousand, eight hundred eight".