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42506268 = 22371926633
BaseRepresentation
bin1010001000100…
…1100000011100
32221222112122020
42202021200130
541340200033
64115020140
71024203660
oct242114034
987875566
1042506268
1121aa2652
121229a650
138a6354c
1459068a0
153ae96b3
hex288981c

42506268 has 48 divisors (see below), whose sum is σ = 119320320. Its totient is φ = 11505024.

The previous prime is 42506267. The next prime is 42506279. The reversal of 42506268 is 86260524.

It is a super-3 number, since 3×425062683 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42506267) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11721 + ... + 14912.

It is an arithmetic number, because the mean of its divisors is an integer number (2485840).

Almost surely, 242506268 is an apocalyptic number.

It is an amenable number.

42506268 is an abundant number, since it is smaller than the sum of its proper divisors (76814052).

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

42506268 is a wasteful number, since it uses less digits than its factorization.

42506268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26666 (or 26664 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 42506268 is about 6519.6831211340. The cubic root of 42506268 is about 348.9937574656.

The spelling of 42506268 in words is "forty-two million, five hundred six thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 266 399 532 798 1596 26633 53266 79899 106532 159798 186431 319596 372862 506027 559293 745724 1012054 1118586 1518081 2024108 2237172 3036162 3542189 6072324 7084378 10626567 14168756 21253134 42506268