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42256220 = 22517373359
BaseRepresentation
bin1010000100110…
…0011101011100
32221111211122012
42201030131130
541304144340
64105410352
71022112656
oct241143534
987454565
1042256220
11219417a6
12121999b8
1389a67a6
14587d6d6
153a9a565
hex284c75c

42256220 has 48 divisors (see below), whose sum is σ = 96526080. Its totient is φ = 15473664.

The previous prime is 42256189. The next prime is 42256241. The reversal of 42256220 is 2265224.

It is a congruent number.

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, 10901 + ... + 14259.

It is an arithmetic number, because the mean of its divisors is an integer number (2010960).

Almost surely, 242256220 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 42256220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48263040).

42256220 is an abundant number, since it is smaller than the sum of its proper divisors (54269860).

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

42256220 is a wasteful number, since it uses less digits than its factorization.

42256220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3422 (or 3420 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 42256220 is about 6500.4784439301. The cubic root of 42256220 is about 348.3080792316.

The spelling of 42256220 in words is "forty-two million, two hundred fifty-six thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 37 68 74 85 148 170 185 340 370 629 740 1258 2516 3145 3359 6290 6718 12580 13436 16795 33590 57103 67180 114206 124283 228412 248566 285515 497132 571030 621415 1142060 1242830 2112811 2485660 4225622 8451244 10564055 21128110 42256220