Search a number
-
+
530333505 = 325131098317
BaseRepresentation
bin11111100111000…
…011111101000001
31100221220201210200
4133213003331001
52041231133010
6124342515413
716066521552
oct3747037501
91327821720
10530333505
112523a5459
12129735b69
1385b45b10
1450610329
153185acc0
hex1f9c3f41

530333505 has 48 divisors (see below), whose sum is σ = 999158160. Its totient is φ = 258660864.

The previous prime is 530333501. The next prime is 530333509. The reversal of 530333505 is 505333035.

530333505 is a `hidden beast` number, since 5 + 303 + 3 + 350 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (530333501) and next prime (530333509).

It can be written as a sum of positive squares in 8 ways, for example, as 13771521 + 516561984 = 3711^2 + 22728^2 .

It is not a de Polignac number, because 530333505 - 22 = 530333501 is a prime.

It is not an unprimeable number, because it can be changed into a prime (530333501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59607 + ... + 67923.

It is an arithmetic number, because the mean of its divisors is an integer number (20815795).

Almost surely, 2530333505 is an apocalyptic number.

It is an amenable number.

530333505 is a deficient number, since it is larger than the sum of its proper divisors (468824655).

530333505 is a wasteful number, since it uses less digits than its factorization.

530333505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8450 (or 8447 counting only the distinct ones).

The product of its (nonzero) digits is 10125, while the sum is 27.

The square root of 530333505 is about 23028.9709930774. The cubic root of 530333505 is about 809.4369429394.

The spelling of 530333505 in words is "five hundred thirty million, three hundred thirty-three thousand, five hundred five".

Divisors: 1 3 5 9 13 15 39 45 65 109 117 195 327 545 585 981 1417 1635 4251 4905 7085 8317 12753 21255 24951 41585 63765 74853 108121 124755 324363 374265 540605 906553 973089 1621815 2719659 4532765 4865445 8158977 11785189 13598295 35355567 40794885 58925945 106066701 176777835 530333505