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530245152 = 253210118229
BaseRepresentation
bin11111100110101…
…110011000100000
31100221202020121100
4133212232120200
52041220321102
6124340554400
716066003143
oct3746563040
91327666540
10530245152
11252345038
121296b2a00
1385b14838
14505ca05a
153183ea1c
hex1f9ae620

530245152 has 72 divisors (see below), whose sum is σ = 1522897740. Its totient is φ = 174988800.

The previous prime is 530245127. The next prime is 530245159. The reversal of 530245152 is 251542035.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 325297296 + 204947856 = 18036^2 + 14316^2 .

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

It is not an unprimeable number, because it can be changed into a prime (530245159) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19974 + ... + 38202.

Almost surely, 2530245152 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 530245152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761448870).

530245152 is an abundant number, since it is smaller than the sum of its proper divisors (992652588).

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

530245152 is a wasteful number, since it uses less digits than its factorization.

530245152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18346 (or 18335 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 530245152 is about 23027.0526120908. The cubic root of 530245152 is about 809.3919899973.

Adding to 530245152 its reverse (251542035), we get a palindrome (781787187).

The spelling of 530245152 in words is "five hundred thirty million, two hundred forty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 101 144 202 288 303 404 606 808 909 1212 1616 1818 2424 3232 3636 4848 7272 9696 14544 18229 29088 36458 54687 72916 109374 145832 164061 218748 291664 328122 437496 583328 656244 874992 1312488 1749984 1841129 2624976 3682258 5249952 5523387 7364516 11046774 14729032 16570161 22093548 29458064 33140322 44187096 58916128 66280644 88374192 132561288 176748384 265122576 530245152