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42845360 = 2451393853
BaseRepresentation
bin1010001101110…
…0010010110000
32222121202210012
42203130102300
541432022420
64130154052
71030115405
oct243342260
988552705
1042845360
1122204398
1212422928
138b519ac
1459942ac
153b64dc5
hex28dc4b0

42845360 has 40 divisors (see below), whose sum is σ = 100358160. Its totient is φ = 17010432.

The previous prime is 42845357. The next prime is 42845381. The reversal of 42845360 is 6354824.

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 9194 + ... + 13046.

It is an arithmetic number, because the mean of its divisors is an integer number (2508954).

Almost surely, 242845360 is an apocalyptic number.

42845360 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 42845360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50179080).

42845360 is an abundant number, since it is smaller than the sum of its proper divisors (57512800).

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

42845360 is a wasteful number, since it uses less digits than its factorization.

42845360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4005 (or 3999 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 42845360 is about 6545.6367146367. The cubic root of 42845360 is about 349.9193283462.

The spelling of 42845360 in words is "forty-two million, eight hundred forty-five thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 139 278 556 695 1112 1390 2224 2780 3853 5560 7706 11120 15412 19265 30824 38530 61648 77060 154120 308240 535567 1071134 2142268 2677835 4284536 5355670 8569072 10711340 21422680 42845360