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42483420 = 22335711239
BaseRepresentation
bin1010001000001…
…1111011011100
32221221101022000
42202003323130
541333432140
64114322300
71024050240
oct242037334
987841260
1042483420
1121a87471
1212289390
138a56025
1458dc420
153ae2a30
hex2883edc

42483420 has 96 divisors (see below), whose sum is σ = 151065600. Its totient is φ = 9709632.

The previous prime is 42483409. The next prime is 42483443. The reversal of 42483420 is 2438424.

It is a happy number.

42483420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1840 + ... + 9399.

It is an arithmetic number, because the mean of its divisors is an integer number (1573600).

Almost surely, 242483420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42483420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75532800).

42483420 is an abundant number, since it is smaller than the sum of its proper divisors (108582180).

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

42483420 is a wasteful number, since it uses less digits than its factorization.

42483420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11264 (or 11256 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 42483420 is about 6517.9306532058. The cubic root of 42483420 is about 348.9312157992.

The spelling of 42483420 in words is "forty-two million, four hundred eighty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1890 3780 11239 22478 33717 44956 56195 67434 78673 101151 112390 134868 157346 168585 202302 224780 236019 303453 314692 337170 393365 404604 472038 505755 606906 674340 708057 786730 944076 1011510 1180095 1213812 1416114 1517265 1573460 2023020 2124171 2360190 2832228 3034530 3540285 4248342 4720380 6069060 7080570 8496684 10620855 14161140 21241710 42483420