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42112440 = 2333538993
BaseRepresentation
bin1010000010100…
…1010110111000
32221020112102000
42200221112320
541240044230
64102341000
71020643536
oct240512670
987215360
1042112440
1121853777
121212a760
138956206
145843156
153a6cb60
hex28295b8

42112440 has 64 divisors (see below), whose sum is σ = 140378400. Its totient is φ = 11229696.

The previous prime is 42112409. The next prime is 42112463. The reversal of 42112440 is 4421124.

42112440 is a `hidden beast` number, since 421 + 1 + 244 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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, 18417 + ... + 20576.

Almost surely, 242112440 is an apocalyptic number.

42112440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42112440 is an abundant number, since it is smaller than the sum of its proper divisors (98265960).

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

42112440 is a wasteful number, since it uses less digits than its factorization.

42112440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39013 (or 39003 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 42112440 is about 6489.4098344919. The cubic root of 42112440 is about 347.9125820852.

Adding to 42112440 its reverse (4421124), we get a palindrome (46533564).

The spelling of 42112440 in words is "forty-two million, one hundred twelve thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 38993 77986 116979 155972 194965 233958 311944 350937 389930 467916 584895 701874 779860 935832 1052811 1169790 1403748 1559720 1754685 2105622 2339580 2807496 3509370 4211244 4679160 5264055 7018740 8422488 10528110 14037480 21056220 42112440