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42612540 = 22351741777
BaseRepresentation
bin1010001010001…
…1011100111100
32222011221102020
42202203130330
541402100130
64121200140
71025125545
oct242433474
988157366
1042612540
1122065483
1212330050
138a9ca29
1459334cc
153b1ae10
hex28a373c

42612540 has 48 divisors (see below), whose sum is σ = 126336672. Its totient is φ = 10694656.

The previous prime is 42612533. The next prime is 42612541. The reversal of 42612540 is 4521624.

42612540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 42612540.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42612541) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 19869 + ... + 21908.

It is an arithmetic number, because the mean of its divisors is an integer number (2632014).

Almost surely, 242612540 is an apocalyptic number.

It is an amenable number.

42612540 is an abundant number, since it is smaller than the sum of its proper divisors (83724132).

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

42612540 is a wasteful number, since it uses less digits than its factorization.

42612540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41806 (or 41804 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 42612540 is about 6527.8281227373. The cubic root of 42612540 is about 349.2843608712.

The spelling of 42612540 in words is "forty-two million, six hundred twelve thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 41777 83554 125331 167108 208885 250662 417770 501324 626655 710209 835540 1253310 1420418 2130627 2506620 2840836 3551045 4261254 7102090 8522508 10653135 14204180 21306270 42612540