Search a number
-
+
2426338512 = 2432134093169
BaseRepresentation
bin1001000010011110…
…1111110011010000
320021002120202201100
42100213233303100
514432120313022
61040432504400
7114061352133
oct22047576320
96232522640
102426338512
111035672044
125786ab100
132c88ab180
1419035821a
15e302a1ac
hex909efcd0

2426338512 has 120 divisors (see below), whose sum is σ = 7332907400. Its totient is φ = 744505344.

The previous prime is 2426338489. The next prime is 2426338543. The reversal of 2426338512 is 2158336242.

2426338512 is a `hidden beast` number, since 2 + 4 + 2 + 633 + 8 + 5 + 12 = 666.

2426338512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 817045056 + 1609293456 = 28584^2 + 40116^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 764064 + ... + 767232.

Almost surely, 22426338512 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 2426338512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3666453700).

2426338512 is an abundant number, since it is smaller than the sum of its proper divisors (4906568888).

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

2426338512 is a wasteful number, since it uses less digits than its factorization.

2426338512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3605 (or 3596 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 2426338512 is about 49257.8776643899. The cubic root of 2426338512 is about 1343.7458331019.

The spelling of 2426338512 in words is "two billion, four hundred twenty-six million, three hundred thirty-eight thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 409 468 624 818 936 1227 1636 1872 2454 3169 3272 3681 4908 5317 6338 6544 7362 9507 9816 10634 12676 14724 15951 19014 19632 21268 25352 28521 29448 31902 38028 41197 42536 47853 50704 57042 58896 63804 76056 82394 85072 95706 114084 123591 127608 152112 164788 191412 228168 247182 255216 329576 370773 382824 456336 494364 659152 741546 765648 988728 1296121 1483092 1977456 2592242 2966184 3888363 5184484 5932368 7776726 10368968 11665089 15553452 16849573 20737936 23330178 31106904 33699146 46660356 50548719 62213808 67398292 93320712 101097438 134796584 151646157 186641424 202194876 269593168 303292314 404389752 606584628 808779504 1213169256 2426338512