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530592768 = 210346397
BaseRepresentation
bin11111101000000…
…011010000000000
31100222101220110000
4133220003100000
52041312432033
6124352240000
716101651456
oct3750032000
91328356400
10530592768
11252562222
12129840000
1385c06b24
145067a9d6
15318aca13
hex1fa03400

530592768 has 110 divisors (see below), whose sum is σ = 1584701426. Its totient is φ = 176836608.

The previous prime is 530592761. The next prime is 530592779. The reversal of 530592768 is 867295035.

It is a happy number.

530592768 is a `hidden beast` number, since 53 + 0 + 592 + 7 + 6 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 288728064 + 241864704 = 16992^2 + 15552^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (530592761) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 79746 + ... + 86142.

Almost surely, 2530592768 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 530592768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792350713).

530592768 is an abundant number, since it is smaller than the sum of its proper divisors (1054108658).

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

530592768 is an equidigital number, since it uses as much as digits as its factorization.

530592768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6429 (or 6402 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 530592768 is about 23034.5993670391. The cubic root of 530592768 is about 809.5688240168.

The spelling of 530592768 in words is "five hundred thirty million, five hundred ninety-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1728 2304 2592 3072 3456 4608 5184 6397 6912 9216 10368 12794 13824 19191 20736 25588 27648 38382 41472 51176 57573 76764 82944 102352 115146 153528 172719 204704 230292 307056 345438 409408 460584 518157 614112 690876 818816 921168 1036314 1228224 1381752 1637632 1842336 2072628 2456448 2763504 3275264 3684672 4145256 4912896 5527008 6550528 7369344 8290512 9825792 11054016 14738688 16581024 19651584 22108032 29477376 33162048 44216064 58954752 66324096 88432128 132648192 176864256 265296384 530592768