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42866180 = 22572173183
BaseRepresentation
bin1010001110000…
…1011000000100
32222122211100022
42203201120010
541433204210
64130434312
71030233200
oct243413004
988584308
1042866180
1122218aa5
1212432998
138b5b306
14599bb00
153b6b155
hex28e1604

42866180 has 144 divisors (see below), whose sum is σ = 115831296. Its totient is φ = 13224960.

The previous prime is 42866171. The next prime is 42866221. The reversal of 42866180 is 8166824.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 42866180.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 516419 + ... + 516501.

It is an arithmetic number, because the mean of its divisors is an integer number (804384).

Almost surely, 242866180 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 42866180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57915648).

42866180 is an abundant number, since it is smaller than the sum of its proper divisors (72965116).

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

42866180 is a wasteful number, since it uses less digits than its factorization.

42866180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 42866180 is about 6547.2268938842. The cubic root of 42866180 is about 349.9759983541.

The spelling of 42866180 in words is "forty-two million, eight hundred sixty-six thousand, one hundred eighty".

Divisors: 1 2 4 5 7 10 14 17 20 28 31 34 35 49 62 68 70 83 85 98 119 124 140 155 166 170 196 217 238 245 310 332 340 415 434 476 490 527 581 595 620 830 833 868 980 1054 1085 1162 1190 1411 1519 1660 1666 2108 2170 2324 2380 2573 2635 2822 2905 3038 3332 3689 4067 4165 4340 5146 5270 5644 5810 6076 7055 7378 7595 8134 8330 9877 10292 10540 11620 12865 14110 14756 15190 16268 16660 18011 18445 19754 20335 25730 25823 28220 30380 36022 36890 39508 40670 43741 49385 51460 51646 69139 72044 73780 81340 87482 90055 98770 103292 126077 129115 138278 174964 180110 197540 218705 252154 258230 276556 306187 345695 360220 437410 504308 516460 612374 630385 691390 874820 1224748 1260770 1382780 1530935 2143309 2521540 3061870 4286618 6123740 8573236 10716545 21433090 42866180