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530835768 = 23342335617
BaseRepresentation
bin11111101000111…
…110100100111000
31100222212020210000
4133220332210320
52041343221033
6124401353000
716104013101
oct3750764470
91328766700
10530835768
11252708851
12129938760
1385c90608
14507013a8
1531909a13
hex1fa3e938

530835768 has 80 divisors (see below), whose sum is σ = 1551520080. Its totient is φ = 169247232.

The previous prime is 530835763. The next prime is 530835769. The reversal of 530835768 is 867538035.

530835768 is a `hidden beast` number, since 530 + 8 + 3 + 57 + 68 = 666.

It is a super-2 number, since 2×5308357682 = 563573225176299648, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (530835763) 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 19 ways as a sum of consecutive naturals, for example, 2905 + ... + 32712.

It is an arithmetic number, because the mean of its divisors is an integer number (19394001).

Almost surely, 2530835768 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 530835768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775760040).

530835768 is an abundant number, since it is smaller than the sum of its proper divisors (1020684312).

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

530835768 is a wasteful number, since it uses less digits than its factorization.

530835768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35658 (or 35645 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 530835768 is about 23039.8734371524. The cubic root of 530835768 is about 809.6923934859.

The spelling of 530835768 in words is "five hundred thirty million, eight hundred thirty-five thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 81 92 108 138 162 184 207 216 276 324 414 552 621 648 828 1242 1656 1863 2484 3726 4968 7452 14904 35617 71234 106851 142468 213702 284936 320553 427404 641106 819191 854808 961659 1282212 1638382 1923318 2457573 2564424 2884977 3276764 3846636 4915146 5769954 6553528 7372719 7693272 9830292 11539908 14745438 19660584 22118157 23079816 29490876 44236314 58981752 66354471 88472628 132708942 176945256 265417884 530835768