Search a number
-
+
551600640 = 2932589269
BaseRepresentation
bin100000111000001…
…100001000000000
31102102221012211100
4200320030020000
52112202210030
6130422414400
716445346063
oct4070141000
91372835740
10551600640
112634007a8
12134891400
138a380c16
14533888da
153365c360
hex20e0c200

551600640 has 240 divisors, whose sum is σ = 1938994200. Its totient is φ = 144900096.

The previous prime is 551600611. The next prime is 551600641. The reversal of 551600640 is 46006155.

It is a happy number.

551600640 is a `hidden beast` number, since 5 + 5 + 16 + 0 + 0 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 217149696 + 334450944 = 14736^2 + 18288^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (551600641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2050426 + ... + 2050694.

Almost surely, 2551600640 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 551600640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (969497100).

551600640 is an abundant number, since it is smaller than the sum of its proper divisors (1387393560).

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

551600640 is a wasteful number, since it uses less digits than its factorization.

551600640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 551600640 is about 23486.1797659815. The cubic root of 551600640 is about 820.1153119612.

Adding to 551600640 its reverse (46006155), we get a palindrome (597606795).

The spelling of 551600640 in words is "five hundred fifty-one million, six hundred thousand, six hundred forty".