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42426120 = 23351132141
BaseRepresentation
bin1010000111010…
…1111100001000
32221211110200210
42201311330020
541330113440
64113201120
71023421212
oct241657410
987743623
1042426120
1121a48410
12122601a0
138a35c19
1458c55b2
153ad0a80
hex2875f08

42426120 has 64 divisors (see below), whose sum is σ = 138853440. Its totient is φ = 10284800.

The previous prime is 42426119. The next prime is 42426173. The reversal of 42426120 is 2162424.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14751 + ... + 17390.

It is an arithmetic number, because the mean of its divisors is an integer number (2169585).

Almost surely, 242426120 is an apocalyptic number.

42426120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42426120 is an abundant number, since it is smaller than the sum of its proper divisors (96427320).

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

42426120 is a wasteful number, since it uses less digits than its factorization.

42426120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32166 (or 32162 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 42426120 is about 6513.5336031988. The cubic root of 42426120 is about 348.7742702242.

Adding to 42426120 its reverse (2162424), we get a palindrome (44588544).

The spelling of 42426120 in words is "forty-two million, four hundred twenty-six thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 32141 64282 96423 128564 160705 192846 257128 321410 353551 385692 482115 642820 707102 771384 964230 1060653 1285640 1414204 1767755 1928460 2121306 2828408 3535510 3856920 4242612 5303265 7071020 8485224 10606530 14142040 21213060 42426120