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842019129 = 327172103449
BaseRepresentation
bin110010001100000…
…011000100111001
32011200102000002200
4302030003010321
53211024103004
6215315220413
726603021160
oct6214030471
92150360080
10842019129
113a2330486
121b5ba7709
131055a5793
147db863d7
154ddc7239
hex32303139

842019129 has 72 divisors (see below), whose sum is σ = 1494230400. Its totient is φ = 447455232.

The previous prime is 842019071. The next prime is 842019169. The reversal of 842019129 is 921910248.

It is not a de Polignac number, because 842019129 - 213 = 842010937 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 842019093 and 842019102.

It is not an unprimeable number, because it can be changed into a prime (842019169) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1875097 + ... + 1875545.

It is an arithmetic number, because the mean of its divisors is an integer number (20753200).

Almost surely, 2842019129 is an apocalyptic number.

It is an amenable number.

842019129 is a deficient number, since it is larger than the sum of its proper divisors (652211271).

842019129 is a wasteful number, since it uses less digits than its factorization.

842019129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 842019129 is about 29017.5658696590. The cubic root of 842019129 is about 944.2941937277.

The spelling of 842019129 in words is "eight hundred forty-two million, nineteen thousand, one hundred twenty-nine".

Divisors: 1 3 7 9 17 21 51 63 103 119 153 289 309 357 449 721 867 927 1071 1347 1751 2023 2163 2601 3143 4041 5253 6069 6489 7633 9429 12257 15759 18207 22899 28287 29767 36771 46247 53431 68697 89301 110313 129761 138741 160293 208369 267903 323729 389283 416223 480879 625107 786199 908327 971187 1167849 1875321 2358597 2724981 2913561 5503393 7075791 8174943 13365383 16510179 40096149 49530537 93557681 120288447 280673043 842019129