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42556140 = 223251121493
BaseRepresentation
bin1010001001010…
…1101011101100
32222002002001100
42202111223230
541343244030
64120043100
71024502244
oct242255354
988062040
1042556140
1122027070
1212303490
138a80163
14591ab24
153b09360
hex2895aec

42556140 has 72 divisors (see below), whose sum is σ = 140828688. Its totient is φ = 10316160.

The previous prime is 42556127. The next prime is 42556159. The reversal of 42556140 is 4165524.

42556140 is a `hidden beast` number, since 42 + 5 + 5 + 614 + 0 = 666.

42556140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×425561402 = 3622050103399200, which contains 22 as substring.

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, 8767 + ... + 12726.

It is an arithmetic number, because the mean of its divisors is an integer number (1955954).

Almost surely, 242556140 is an apocalyptic number.

It is an amenable number.

42556140 is an abundant number, since it is smaller than the sum of its proper divisors (98272548).

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

42556140 is a wasteful number, since it uses less digits than its factorization.

42556140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21519 (or 21514 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 42556140 is about 6523.5067256806. The cubic root of 42556140 is about 349.1301939247.

It can be divided in two parts, 425 and 56140, that added together give a palindrome (56565).

The spelling of 42556140 in words is "forty-two million, five hundred fifty-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 21493 42986 64479 85972 107465 128958 193437 214930 236423 257916 322395 386874 429860 472846 644790 709269 773748 945692 967185 1182115 1289580 1418538 1934370 2127807 2364230 2837076 3546345 3868740 4255614 4728460 7092690 8511228 10639035 14185380 21278070 42556140