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42854112 = 2532729733
BaseRepresentation
bin1010001101111…
…0011011100000
32222122012210100
42203132123200
541432312422
64130302400
71030153050
oct243363340
988565710
1042854112
112220aa24
1212427a00
138b55982
145997560
153b677ac
hex28de6e0

42854112 has 144 divisors (see below), whose sum is σ = 144275040. Its totient is φ = 11805696.

The previous prime is 42854107. The next prime is 42854131. The reversal of 42854112 is 21145824.

42854112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58098 + ... + 58830.

It is an arithmetic number, because the mean of its divisors is an integer number (1001910).

Almost surely, 242854112 is an apocalyptic number.

42854112 is a gapful number since it is divisible by the number (42) 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 42854112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72137520).

42854112 is an abundant number, since it is smaller than the sum of its proper divisors (101420928).

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

42854112 is a wasteful number, since it uses less digits than its factorization.

42854112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 774 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 42854112 is about 6546.3052174490. The cubic root of 42854112 is about 349.9431526721.

Adding to 42854112 its reverse (21145824), we get a palindrome (63999936).

The spelling of 42854112 in words is "forty-two million, eight hundred fifty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 29 32 36 42 48 56 58 63 72 84 87 96 112 116 126 144 168 174 203 224 232 252 261 288 336 348 406 464 504 522 609 672 696 733 812 928 1008 1044 1218 1392 1466 1624 1827 2016 2088 2199 2436 2784 2932 3248 3654 4176 4398 4872 5131 5864 6496 6597 7308 8352 8796 9744 10262 11728 13194 14616 15393 17592 19488 20524 21257 23456 26388 29232 30786 35184 41048 42514 46179 52776 58464 61572 63771 70368 82096 85028 92358 105552 123144 127542 148799 164192 170056 184716 191313 211104 246288 255084 297598 340112 369432 382626 446397 492576 510168 595196 680224 738864 765252 892794 1020336 1190392 1339191 1477728 1530504 1785588 2040672 2380784 2678382 3061008 3571176 4761568 5356764 6122016 7142352 10713528 14284704 21427056 42854112