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530781664 = 25729101809
BaseRepresentation
bin11111101000110…
…001010111100000
31100222202111120011
4133220301113200
52041340003124
6124400254304
716103366260
oct3750612740
91328674504
10530781664
11252681136
12129911394
1385c71aba
14506c97a0
15318e8994
hex1fa315e0

530781664 has 96 divisors (see below), whose sum is σ = 1249214400. Its totient is φ = 217190400.

The previous prime is 530781661. The next prime is 530781677. The reversal of 530781664 is 466187035.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (530781661) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 655692 + ... + 656500.

It is an arithmetic number, because the mean of its divisors is an integer number (13012650).

Almost surely, 2530781664 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 530781664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624607200).

530781664 is an abundant number, since it is smaller than the sum of its proper divisors (718432736).

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

530781664 is a wasteful number, since it uses less digits than its factorization.

530781664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The square root of 530781664 is about 23038.6992688389. The cubic root of 530781664 is about 809.6648839821.

The spelling of 530781664 in words is "five hundred thirty million, seven hundred eighty-one thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 101 112 116 202 203 224 232 404 406 464 707 808 809 812 928 1414 1616 1618 1624 2828 2929 3232 3236 3248 5656 5663 5858 6472 6496 11312 11326 11716 12944 20503 22624 22652 23432 23461 25888 41006 45304 46864 46922 81709 82012 90608 93728 93844 163418 164024 164227 181216 187688 326836 328048 328454 375376 571963 653672 656096 656908 750752 1143926 1307344 1313816 2287852 2369561 2614688 2627632 4575704 4739122 5255264 9151408 9478244 16586927 18302816 18956488 33173854 37912976 66347708 75825952 132695416 265390832 530781664