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285442542 = 2347311467
BaseRepresentation
bin10001000000111…
…000000111101110
3201220002222120000
4101000320013232
51041033130132
644154005130
710034136000
oct2100700756
9656088500
10285442542
11137141230
127b7167a6
13471a1a18
1429ca4370
151a0d587c
hex110381ee

285442542 has 160 divisors (see below), whose sum is σ = 815443200. Its totient is φ = 73982160.

The previous prime is 285442537. The next prime is 285442543. The reversal of 285442542 is 245244582.

285442542 is a `hidden beast` number, since 28 + 54 + 42 + 542 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 285442497 and 285442506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285442543) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 610993 + ... + 611459.

It is an arithmetic number, because the mean of its divisors is an integer number (5096520).

Almost surely, 2285442542 is an apocalyptic number.

285442542 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 285442542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407721600).

285442542 is an abundant number, since it is smaller than the sum of its proper divisors (530000658).

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

285442542 is a wasteful number, since it uses less digits than its factorization.

285442542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 490 counting only the distinct ones).

The product of its digits is 102400, while the sum is 36.

The square root of 285442542 is about 16895.0448948797. The cubic root of 285442542 is about 658.4248802598.

The spelling of 285442542 in words is "two hundred eighty-five million, four hundred forty-two thousand, five hundred forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 49 54 63 66 77 81 98 99 126 147 154 162 189 198 231 294 297 343 378 441 462 467 539 567 594 686 693 882 891 934 1029 1078 1134 1323 1386 1401 1617 1782 2058 2079 2646 2802 3087 3234 3269 3773 3969 4158 4203 4851 5137 6174 6237 6538 7546 7938 8406 9261 9702 9807 10274 11319 12474 12609 14553 15411 18522 19614 22638 22883 25218 27783 29106 29421 30822 33957 35959 37827 43659 45766 46233 55566 58842 67914 68649 71918 75654 87318 88263 92466 101871 107877 137298 138699 160181 176526 203742 205947 215754 251713 264789 277398 305613 320362 323631 411894 416097 480543 503426 529578 611226 617841 647262 755139 832194 961086 970893 1235682 1441629 1510278 1761991 1853523 1941786 2265417 2883258 2912679 3523982 3707046 4324887 4530834 5285973 5825358 6796251 8649774 10571946 12974661 13592502 15857919 20388753 25949322 31715838 40777506 47573757 95147514 142721271 285442542