Search a number
-
+
682818048 = 29321119709
BaseRepresentation
bin101000101100101…
…111101000000000
31202120211202021100
4220230233220000
52344300134143
6151431054400
722630600113
oct5054575000
91676752240
10682818048
11320484340
12170811400
13ab604863
146698457a
153ee2b6d3
hex28b2fa00

682818048 has 240 divisors, whose sum is σ = 2266149600. Its totient is φ = 195747840.

The previous prime is 682818013. The next prime is 682818049. The reversal of 682818048 is 840818286.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 682817994 and 682818012.

It is not an unprimeable number, because it can be changed into a prime (682818049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 962718 + ... + 963426.

It is an arithmetic number, because the mean of its divisors is an integer number (9442290).

Almost surely, 2682818048 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 682818048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1133074800).

682818048 is an abundant number, since it is smaller than the sum of its proper divisors (1583331552).

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

682818048 is a wasteful number, since it uses less digits than its factorization.

682818048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The square root of 682818048 is about 26130.7873589756. The cubic root of 682818048 is about 880.5790128832.

The spelling of 682818048 in words is "six hundred eighty-two million, eight hundred eighteen thousand, forty-eight".