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42566020 = 2257476469
BaseRepresentation
bin1010001001100…
…0000110000100
32222002120121021
42202120012010
541344103040
64120200524
71024543120
oct242300604
988076537
1042566020
1122033532
1212309144
138a847c3
145920580
153b0c24a
hex2898184

42566020 has 48 divisors (see below), whose sum is σ = 104348160. Its totient is φ = 14281344.

The previous prime is 42566009. The next prime is 42566033. The reversal of 42566020 is 2066524.

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, 3346 + ... + 9814.

It is an arithmetic number, because the mean of its divisors is an integer number (2173920).

Almost surely, 242566020 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 42566020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52174080).

42566020 is an abundant number, since it is smaller than the sum of its proper divisors (61782140).

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

42566020 is a wasteful number, since it uses less digits than its factorization.

42566020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6532 (or 6530 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 42566020 is about 6524.2639431586. The cubic root of 42566020 is about 349.1572103114.

The spelling of 42566020 in words is "forty-two million, five hundred sixty-six thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 47 70 94 140 188 235 329 470 658 940 1316 1645 3290 6469 6580 12938 25876 32345 45283 64690 90566 129380 181132 226415 304043 452830 608086 905660 1216172 1520215 2128301 3040430 4256602 6080860 8513204 10641505 21283010 42566020