Search a number
-
+
42258804 = 223717101293
BaseRepresentation
bin1010000100110…
…1000101110100
32221111222011220
42201031011310
541304240204
64105430340
71022123340
oct241150564
987458156
1042258804
1121943735
121219b3b0
1389a7a13
145880620
153a9b1d9
hex284d174

42258804 has 96 divisors (see below), whose sum is σ = 120911616. Its totient is φ = 11212800.

The previous prime is 42258803. The next prime is 42258833. The reversal of 42258804 is 40885224.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42258803) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 144082 + ... + 144374.

It is an arithmetic number, because the mean of its divisors is an integer number (1259496).

Almost surely, 242258804 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 42258804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60455808).

42258804 is an abundant number, since it is smaller than the sum of its proper divisors (78652812).

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

42258804 is a wasteful number, since it uses less digits than its factorization.

42258804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The square root of 42258804 is about 6500.6771954928. The cubic root of 42258804 is about 348.3151788549.

The spelling of 42258804 in words is "forty-two million, two hundred fifty-eight thousand, eight hundred four".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 101 102 119 202 204 238 293 303 357 404 476 586 606 707 714 879 1172 1212 1414 1428 1717 1758 2051 2121 2828 3434 3516 4102 4242 4981 5151 6153 6868 8204 8484 9962 10302 12019 12306 14943 19924 20604 24038 24612 29593 29886 34867 36057 48076 59186 59772 69734 72114 88779 104601 118372 139468 144228 177558 207151 209202 355116 414302 418404 503081 621453 828604 1006162 1242906 1509243 2012324 2485812 3018486 3521567 6036972 7043134 10564701 14086268 21129402 42258804