Search a number
-
+
482763008 = 28713172353
BaseRepresentation
bin11100110001100…
…110000100000000
31020122101220100102
4130301212010000
51442041404013
6115523141532
714651263220
oct3461460400
91218356312
10482763008
11228563aa2
121158148a8
137902b4b0
144818a080
152c5b0d58
hex1cc66100

482763008 has 288 divisors, whose sum is σ = 1335108096. Its totient is φ = 168689664.

The previous prime is 482762993. The next prime is 482763023. The reversal of 482763008 is 800367284.

It is an interprime number because it is at equal distance from previous prime (482762993) and next prime (482763023).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9108710 + ... + 9108762.

It is an arithmetic number, because the mean of its divisors is an integer number (4635792).

Almost surely, 2482763008 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 482763008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667554048).

482763008 is an abundant number, since it is smaller than the sum of its proper divisors (852345088).

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

482763008 is a wasteful number, since it uses less digits than its factorization.

482763008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The square root of 482763008 is about 21971.8685595923. The cubic root of 482763008 is about 784.4729896108.

The spelling of 482763008 in words is "four hundred eighty-two million, seven hundred sixty-three thousand, eight".