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42608412 = 223271119809
BaseRepresentation
bin1010001010001…
…0011100011100
32222011201202100
42202202130130
541401432122
64121125100
71025110530
oct242423434
988151670
1042608412
1122062370
1212329790
138a9aba2
145931bc0
153b19aac
hex28a271c

42608412 has 144 divisors (see below), whose sum is σ = 141523200. Its totient is φ = 10471680.

The previous prime is 42608411. The next prime is 42608429. The reversal of 42608412 is 21480624.

42608412 is a `hidden beast` number, since 42 + 608 + 4 + 12 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42608411) 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 47 ways as a sum of consecutive naturals, for example, 52264 + ... + 53072.

It is an arithmetic number, because the mean of its divisors is an integer number (982800).

Almost surely, 242608412 is an apocalyptic number.

42608412 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 42608412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70761600).

42608412 is an abundant number, since it is smaller than the sum of its proper divisors (98914788).

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

42608412 is a wasteful number, since it uses less digits than its factorization.

42608412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 42608412 is about 6527.5119302840. The cubic root of 42608412 is about 349.2730817782.

The spelling of 42608412 in words is "forty-two million, six hundred eight thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 19 21 22 28 33 36 38 42 44 57 63 66 76 77 84 99 114 126 132 133 154 171 198 209 228 231 252 266 308 342 396 399 418 462 532 627 684 693 798 809 836 924 1197 1254 1386 1463 1596 1618 1881 2394 2427 2508 2772 2926 3236 3762 4389 4788 4854 5663 5852 7281 7524 8778 8899 9708 11326 13167 14562 15371 16989 17556 17798 22652 26334 26697 29124 30742 33978 35596 46113 50967 52668 53394 61484 62293 67956 80091 92226 101934 106788 107597 124586 138339 160182 169081 184452 186879 203868 215194 249172 276678 320364 322791 338162 373758 430388 507243 553356 560637 645582 676324 747516 968373 1014486 1121274 1183567 1291164 1521729 1936746 2028972 2242548 2367134 3043458 3550701 3873492 4734268 6086916 7101402 10652103 14202804 21304206 42608412