Search a number
-
+
530657296 = 241324432
BaseRepresentation
bin11111101000010…
…011000000010000
31100222112011221221
4133220103000100
52041322013141
6124353454424
716102340551
oct3750230020
91328464857
10530657296
112525a6754
12129871414
1385c2a300
1450696328
15318c1bd1
hex1fa13010

530657296 has 45 divisors (see below), whose sum is σ = 1115839389. Its totient is φ = 244365888.

The previous prime is 530657279. The next prime is 530657297. The reversal of 530657296 is 692756035.

The square root of 530657296 is 23036.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 78499600 + 452157696 = 8860^2 + 21264^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (530657297) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 1197651 + ... + 1198093.

Almost surely, 2530657296 is an apocalyptic number.

530657296 is the 23036-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 530657296

530657296 is an abundant number, since it is smaller than the sum of its proper divisors (585182093).

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

530657296 is an equidigital number, since it uses as much as digits as its factorization.

530657296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 43.

The cubic root of 530657296 is about 809.6016412372.

The spelling of 530657296 in words is "five hundred thirty million, six hundred fifty-seven thousand, two hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 443 676 886 1352 1772 2704 3544 5759 7088 11518 23036 46072 74867 92144 149734 196249 299468 392498 598936 784996 1197872 1569992 2551237 3139984 5102474 10204948 20409896 33166081 40819792 66332162 132664324 265328648 530657296