Search a number
-
+
552326144 = 2105310177
BaseRepresentation
bin100000111010111…
…101010000000000
31102111022002000212
4200322331100000
52112343414034
6130450133252
716454460206
oct4072752000
91374262025
10552326144
11263856897
12134b81228
138a576206
14534d7076
15337522ce
hex20ebd400

552326144 has 44 divisors (see below), whose sum is σ = 1125055764. Its totient is φ = 270925824.

The previous prime is 552326077. The next prime is 552326183. The reversal of 552326144 is 441623255.

It can be written as a sum of positive squares in 2 ways, for example, as 381030400 + 171295744 = 19520^2 + 13088^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 552326144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 49184 + ... + 59360.

Almost surely, 2552326144 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 552326144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562527882).

552326144 is an abundant number, since it is smaller than the sum of its proper divisors (572729620).

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

552326144 is a wasteful number, since it uses less digits than its factorization.

552326144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10250 (or 10232 counting only the distinct ones).

The product of its digits is 28800, while the sum is 32.

The square root of 552326144 is about 23501.6200292661. The cubic root of 552326144 is about 820.4747122387.

Adding to 552326144 its reverse (441623255), we get a palindrome (993949399).

The spelling of 552326144 in words is "five hundred fifty-two million, three hundred twenty-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 256 424 512 848 1024 1696 3392 6784 10177 13568 20354 27136 40708 54272 81416 162832 325664 539381 651328 1078762 1302656 2157524 2605312 4315048 5210624 8630096 10421248 17260192 34520384 69040768 138081536 276163072 552326144