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42935112 = 233211232357
BaseRepresentation
bin1010001111001…
…0001101001000
32222210022220100
42203302031020
541442410422
64132125400
71030641153
oct243621510
988708810
1042935112
1122265870
1212466860
138b837bc
1459b8c9a
153b817ac
hex28f2348

42935112 has 96 divisors (see below), whose sum is σ = 132425280. Its totient is φ = 12439680.

The previous prime is 42935107. The next prime is 42935129. The reversal of 42935112 is 21153924.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 17038 + ... + 19394.

It is an arithmetic number, because the mean of its divisors is an integer number (1379430).

Almost surely, 242935112 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 42935112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66212640).

42935112 is an abundant number, since it is smaller than the sum of its proper divisors (89490168).

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

42935112 is a wasteful number, since it uses less digits than its factorization.

42935112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2403 (or 2396 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 42935112 is about 6552.4889927416. The cubic root of 42935112 is about 350.1634936842.

The spelling of 42935112 in words is "forty-two million, nine hundred thirty-five thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 23 24 33 36 44 46 66 69 72 88 92 99 132 138 184 198 207 253 264 276 396 414 506 552 759 792 828 1012 1518 1656 2024 2277 2357 3036 4554 4714 6072 7071 9108 9428 14142 18216 18856 21213 25927 28284 42426 51854 54211 56568 77781 84852 103708 108422 155562 162633 169704 207416 216844 233343 311124 325266 433688 466686 487899 596321 622248 650532 933372 975798 1192642 1301064 1788963 1866744 1951596 2385284 3577926 3903192 4770568 5366889 7155852 10733778 14311704 21467556 42935112