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529121142 = 232112379641
BaseRepresentation
bin11111100010011…
…011111101110110
31100212122010202100
4133202123331312
52040423334032
6124300522530
716053312144
oct3742337566
91325563670
10529121142
11251747600
12129250446
1385810044
14503b6594
15316bb97c
hex1f89bf76

529121142 has 72 divisors (see below), whose sum is σ = 1265420520. Its totient is φ = 159667200.

The previous prime is 529121111. The next prime is 529121143. The reversal of 529121142 is 241121925.

529121142 is a `hidden beast` number, since 529 + 121 + 14 + 2 = 666.

It is a super-2 number, since 2×5291211422 = 559938365822768328, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (529121143) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 825142 + ... + 825782.

It is an arithmetic number, because the mean of its divisors is an integer number (17575285).

Almost surely, 2529121142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 529121142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632710260).

529121142 is an abundant number, since it is smaller than the sum of its proper divisors (736299378).

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

529121142 is a wasteful number, since it uses less digits than its factorization.

529121142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050 (or 1036 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 529121142 is about 23002.6333709860. The cubic root of 529121142 is about 808.8196708961.

The spelling of 529121142 in words is "five hundred twenty-nine million, one hundred twenty-one thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 379 641 726 758 1089 1137 1282 1923 2178 2274 3411 3846 4169 5769 6822 7051 8338 11538 12507 14102 21153 25014 37521 42306 45859 63459 75042 77561 91718 126918 137577 155122 232683 242939 275154 412731 465366 485878 698049 728817 825462 1396098 1457634 2186451 2672329 4372902 5344658 8016987 16033974 24050961 29395619 48101922 58791238 88186857 176373714 264560571 529121142