Search a number
-
+
664345248 = 25372353811
BaseRepresentation
bin100111100110010…
…001101010100000
31201022002020100120
4213212101222200
52330033021443
6145531120240
722314561420
oct4746215240
91638066316
10664345248
11311007466
121665a3080
13a78375c8
1464336480
153d4cd083
hex27991aa0

664345248 has 192 divisors, whose sum is σ = 2121541632. Its totient is φ = 177914880.

The previous prime is 664345243. The next prime is 664345291. The reversal of 664345248 is 842543466.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (664345243) 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 31 ways as a sum of consecutive naturals, for example, 818763 + ... + 819573.

It is an arithmetic number, because the mean of its divisors is an integer number (11049696).

Almost surely, 2664345248 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 664345248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1060770816).

664345248 is an abundant number, since it is smaller than the sum of its proper divisors (1457196384).

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

664345248 is a wasteful number, since it uses less digits than its factorization.

664345248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907 (or 899 counting only the distinct ones).

The product of its digits is 552960, while the sum is 42.

The square root of 664345248 is about 25774.8956932904. The cubic root of 664345248 is about 872.5653125275.

The spelling of 664345248 in words is "six hundred sixty-four million, three hundred forty-five thousand, two hundred forty-eight".