Search a number
-
+
42458489424 = 24321322680817
BaseRepresentation
bin100111100010101110…
…010010001001010000
311001121000010201222100
4213202232102021100
51143423333130144
631301040440400
73032106130311
oct474256221120
9131530121870
1042458489424
111700878a58a
12828b319100
134008509730
1420aacd4608
151187763269
hex9e2b92250

42458489424 has 60 divisors (see below), whose sum is σ = 127965175156. Its totient is φ = 13064150016.

The previous prime is 42458489393. The next prime is 42458489443. The reversal of 42458489424 is 42498485424.

42458489424 is a `hidden beast` number, since 42 + 458 + 48 + 94 + 24 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8506741824 + 33951747600 = 92232^2 + 184260^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11338537 + ... + 11342280.

Almost surely, 242458489424 is an apocalyptic number.

It is an amenable number.

42458489424 is an abundant number, since it is smaller than the sum of its proper divisors (85506685732).

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

42458489424 is a wasteful number, since it uses less digits than its factorization.

42458489424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22680844 (or 22680835 counting only the distinct ones).

The product of its digits is 11796480, while the sum is 54.

The spelling of 42458489424 in words is "forty-two billion, four hundred fifty-eight million, four hundred eighty-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 22680817 45361634 68042451 90723268 136084902 181446536 204127353 272169804 294850621 362893072 408254706 544339608 589701242 816509412 884551863 1088679216 1179402484 1633018824 1769103726 2358804968 2653655589 3266037648 3538207452 4717609936 5307311178 7076414904 10614622356 14152829808 21229244712 42458489424