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520295568 = 243132312069
BaseRepresentation
bin11111000000110…
…001010010010000
31100021000202100020
4133000301102100
52031143424233
6123343423440
715615303462
oct3700612220
91307022306
10520295568
11247769841
121262b4b80
1383a3cc00
144d15a132
1530a269b3
hex1f031490

520295568 has 120 divisors (see below), whose sum is σ = 1503118080. Its totient is φ = 154851840.

The previous prime is 520295561. The next prime is 520295569. The reversal of 520295568 is 865592025.

It is not an unprimeable number, because it can be changed into a prime (520295561) 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 23 ways as a sum of consecutive naturals, for example, 250438 + ... + 252506.

It is an arithmetic number, because the mean of its divisors is an integer number (12525984).

Almost surely, 2520295568 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 520295568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751559040).

520295568 is an abundant number, since it is smaller than the sum of its proper divisors (982822512).

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

520295568 is a wasteful number, since it uses less digits than its factorization.

520295568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2137 (or 2118 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 42.

The square root of 520295568 is about 22809.9883384451. The cubic root of 520295568 is about 804.2974815614.

The spelling of 520295568 in words is "five hundred twenty million, two hundred ninety-five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 39 48 52 62 78 93 104 124 156 169 186 208 248 312 338 372 403 496 507 624 676 744 806 1014 1209 1352 1488 1612 2028 2069 2418 2704 3224 4056 4138 4836 5239 6207 6448 8112 8276 9672 10478 12414 15717 16552 19344 20956 24828 26897 31434 33104 41912 49656 53794 62868 64139 80691 83824 99312 107588 125736 128278 161382 192417 215176 251472 256556 322764 349661 384834 430352 513112 645528 699322 769668 833807 1026224 1048983 1291056 1398644 1539336 1667614 2097966 2501421 2797288 3078672 3335228 4195932 5002842 5594576 6670456 8391864 10005684 10839491 13340912 16783728 20011368 21678982 32518473 40022736 43357964 65036946 86715928 130073892 173431856 260147784 520295568