Search a number
-
+
42864180 = 22352389349
BaseRepresentation
bin1010001110000…
…0111000110100
32222122201121020
42203200320310
541433123210
64130421140
71030224312
oct243407064
988581536
1042864180
1122217547
12124317b0
138b5a428
14599b0b2
153b6a770
hex28e0e34

42864180 has 96 divisors (see below), whose sum is σ = 127008000. Its totient is φ = 10779648.

The previous prime is 42864179. The next prime is 42864187. The reversal of 42864180 is 8146824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42864187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122646 + ... + 122994.

It is an arithmetic number, because the mean of its divisors is an integer number (1323000).

Almost surely, 242864180 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 42864180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63504000).

42864180 is an abundant number, since it is smaller than the sum of its proper divisors (84143820).

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

42864180 is a wasteful number, since it uses less digits than its factorization.

42864180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 42864180 is about 6547.0741556821. The cubic root of 42864180 is about 349.9705553461.

The spelling of 42864180 in words is "forty-two million, eight hundred sixty-four thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 89 92 115 138 178 230 267 276 345 349 356 445 460 534 690 698 890 1047 1068 1335 1380 1396 1745 1780 2047 2094 2670 3490 4094 4188 5235 5340 6141 6980 8027 8188 10235 10470 12282 16054 20470 20940 24081 24564 30705 31061 32108 40135 40940 48162 61410 62122 80270 93183 96324 120405 122820 124244 155305 160540 186366 240810 310610 372732 465915 481620 621220 714403 931830 1428806 1863660 2143209 2857612 3572015 4286418 7144030 8572836 10716045 14288060 21432090 42864180