Search a number
-
+
42566240 = 2552231193
BaseRepresentation
bin1010001001100…
…0001001100000
32222002120220102
42202120021200
541344104430
64120201532
71024543553
oct242301140
988076812
1042566240
1122033712
12123092a8
138a84932
14592069a
153b0c345
hex2898260

42566240 has 48 divisors (see below), whose sum is σ = 101098368. Its totient is φ = 16935936.

The previous prime is 42566231. The next prime is 42566257. The reversal of 42566240 is 4266524.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35084 + ... + 36276.

It is an arithmetic number, because the mean of its divisors is an integer number (2106216).

Almost surely, 242566240 is an apocalyptic number.

42566240 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 42566240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50549184).

42566240 is an abundant number, since it is smaller than the sum of its proper divisors (58532128).

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

42566240 is a wasteful number, since it uses less digits than its factorization.

42566240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1431 (or 1423 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 42566240 is about 6524.2808032763. The cubic root of 42566240 is about 349.1578118433.

The spelling of 42566240 in words is "forty-two million, five hundred sixty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 223 446 892 1115 1193 1784 2230 2386 3568 4460 4772 5965 7136 8920 9544 11930 17840 19088 23860 35680 38176 47720 95440 190880 266039 532078 1064156 1330195 2128312 2660390 4256624 5320780 8513248 10641560 21283120 42566240