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42267940 = 225111314779
BaseRepresentation
bin1010000100111…
…1010100100100
32221112102201021
42201033110210
541310033230
64105540524
71022162101
oct241172444
987472637
1042267940
112194a590
12121a4744
1389abc20
145883aa8
153a9dc7a
hex284f524

42267940 has 48 divisors (see below), whose sum is σ = 104287680. Its totient is φ = 14186880.

The previous prime is 42267919. The next prime is 42267941. The reversal of 42267940 is 4976224.

It is a junction number, because it is equal to n+sod(n) for n = 42267896 and 42267905.

It is not an unprimeable number, because it can be changed into a prime (42267941) 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 15 ways as a sum of consecutive naturals, for example, 4530 + ... + 10249.

It is an arithmetic number, because the mean of its divisors is an integer number (2172660).

Almost surely, 242267940 is an apocalyptic number.

It is an amenable number.

42267940 is an abundant number, since it is smaller than the sum of its proper divisors (62019740).

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

42267940 is a wasteful number, since it uses less digits than its factorization.

42267940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14812 (or 14810 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 42267940 is about 6501.3798535388. The cubic root of 42267940 is about 348.3402779891.

The spelling of 42267940 in words is "forty-two million, two hundred sixty-seven thousand, nine hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 572 715 1430 2860 14779 29558 59116 73895 147790 162569 192127 295580 325138 384254 650276 768508 812845 960635 1625690 1921270 2113397 3251380 3842540 4226794 8453588 10566985 21133970 42267940