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42844920 = 23353071163
BaseRepresentation
bin1010001101110…
…0001011111000
32222121202011220
42203130023320
541432014140
64130152040
71030114206
oct243341370
988552156
1042844920
1122204028
1212422620
138b51731
145994076
153b64bd0
hex28dc2f8

42844920 has 64 divisors (see below), whose sum is σ = 129064320. Its totient is φ = 11378304.

The previous prime is 42844909. The next prime is 42844937. The reversal of 42844920 is 2944824.

42844920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 36259 + ... + 37421.

It is an arithmetic number, because the mean of its divisors is an integer number (2016630).

Almost surely, 242844920 is an apocalyptic number.

42844920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42844920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64532160).

42844920 is an abundant number, since it is smaller than the sum of its proper divisors (86219400).

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

42844920 is a wasteful number, since it uses less digits than its factorization.

42844920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1484 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 42844920 is about 6545.6031043747. The cubic root of 42844920 is about 349.9181305110.

The spelling of 42844920 in words is "forty-two million, eight hundred forty-four thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 307 614 921 1163 1228 1535 1842 2326 2456 3070 3489 3684 4605 4652 5815 6140 6978 7368 9210 9304 11630 12280 13956 17445 18420 23260 27912 34890 36840 46520 69780 139560 357041 714082 1071123 1428164 1785205 2142246 2856328 3570410 4284492 5355615 7140820 8568984 10711230 14281640 21422460 42844920