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536023768 = 23753313577
BaseRepresentation
bin11111111100110…
…001001011011000
31101100121211101011
4133330301023120
52044210230033
6125104503304
716166061340
oct3774611330
91340554334
10536023768
11255631655
1212b61ab34
1387088b37
1451291d20
15320d1ccd
hex1ff312d8

536023768 has 64 divisors (see below), whose sum is σ = 1176068160. Its totient is φ = 224280576.

The previous prime is 536023757. The next prime is 536023783. The reversal of 536023768 is 867320635.

It is a self number, because there is not a number n which added to its sum of digits gives 536023768.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 928696 + ... + 929272.

It is an arithmetic number, because the mean of its divisors is an integer number (18376065).

Almost surely, 2536023768 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 536023768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588034080).

536023768 is an abundant number, since it is smaller than the sum of its proper divisors (640044392).

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

536023768 is a wasteful number, since it uses less digits than its factorization.

536023768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 40.

The square root of 536023768 is about 23152.1871105086. The cubic root of 536023768 is about 812.3216267369.

The spelling of 536023768 in words is "five hundred thirty-six million, twenty-three thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 53 56 106 212 313 371 424 577 626 742 1154 1252 1484 2191 2308 2504 2968 4039 4382 4616 8078 8764 16156 16589 17528 30581 32312 33178 61162 66356 116123 122324 132712 180601 214067 232246 244648 361202 428134 464492 722404 856268 928984 1264207 1444808 1712536 2528414 5056828 9571853 10113656 19143706 38287412 67002971 76574824 134005942 268011884 536023768