Search a number
-
+
552488328 = 233272156601
BaseRepresentation
bin100000111011100…
…100110110001000
31102111121022111200
4200323210312020
52112414111303
6130453424200
716456034100
oct4073446610
91374538450
10552488328
11263957727
1213503b060
138a601c92
145353a200
15337853a3
hex20ee4d88

552488328 has 72 divisors (see below), whose sum is σ = 1740631230. Its totient is φ = 157852800.

The previous prime is 552488311. The next prime is 552488341. The reversal of 552488328 is 823884255.

It can be written as a sum of positive squares in only one way, i.e., 309689604 + 242798724 = 17598^2 + 15582^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 74773 + ... + 81828.

Almost surely, 2552488328 is an apocalyptic number.

It is an amenable number.

552488328 is an abundant number, since it is smaller than the sum of its proper divisors (1188142902).

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

552488328 is a wasteful number, since it uses less digits than its factorization.

552488328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156627 (or 156613 counting only the distinct ones).

The product of its digits is 614400, while the sum is 45.

The square root of 552488328 is about 23505.0702615414. The cubic root of 552488328 is about 820.5550119249. Note that the first 3 decimals are identical.

The spelling of 552488328 in words is "five hundred fifty-two million, four hundred eighty-eight thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 156601 313202 469803 626404 939606 1096207 1252808 1409409 1879212 2192414 2818818 3288621 3758424 4384828 5637636 6577242 7673449 8769656 9865863 11275272 13154484 15346898 19731726 23020347 26308968 30693796 39463452 46040694 61387592 69061041 78926904 92081388 138122082 184162776 276244164 552488328