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42858288 = 24331129311
BaseRepresentation
bin1010001101111…
…1011100110000
32222122102112000
42203133130300
541432431123
64130334000
71030201164
oct243373460
988572460
1042858288
1122213080
121242a300
138b57845
145998ca4
153b68b43
hex28df730

42858288 has 160 divisors (see below), whose sum is σ = 139276800. Its totient is φ = 12499200.

The previous prime is 42858203. The next prime is 42858289. The reversal of 42858288 is 88285824.

It is not an unprimeable number, because it can be changed into a prime (42858289) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137653 + ... + 137963.

It is an arithmetic number, because the mean of its divisors is an integer number (870480).

Almost surely, 242858288 is an apocalyptic number.

42858288 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42858288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69638400).

42858288 is an abundant number, since it is smaller than the sum of its proper divisors (96418512).

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

42858288 is a wasteful number, since it uses less digits than its factorization.

42858288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 356 counting only the distinct ones).

The product of its digits is 327680, while the sum is 45.

The square root of 42858288 is about 6546.6241682259. The cubic root of 42858288 is about 349.9545192603.

The spelling of 42858288 in words is "forty-two million, eight hundred fifty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 29 33 36 44 48 54 58 66 72 87 88 99 108 116 132 144 174 176 198 216 232 261 264 297 311 319 348 396 432 464 522 528 594 622 638 696 783 792 933 957 1044 1188 1244 1276 1392 1566 1584 1866 1914 2088 2376 2488 2552 2799 2871 3132 3421 3732 3828 4176 4752 4976 5104 5598 5742 6264 6842 7464 7656 8397 8613 9019 10263 11196 11484 12528 13684 14928 15312 16794 17226 18038 20526 22392 22968 27057 27368 30789 33588 34452 36076 41052 44784 45936 54114 54736 61578 67176 68904 72152 81171 82104 92367 99209 108228 123156 134352 137808 144304 162342 164208 184734 198418 216456 243513 246312 297627 324684 369468 396836 432912 487026 492624 595254 649368 738936 793672 892881 974052 1190508 1298736 1477872 1587344 1785762 1948104 2381016 2678643 3571524 3896208 4762032 5357286 7143048 10714572 14286096 21429144 42858288