Search a number
-
+
3899112048 = 2432133167189
BaseRepresentation
bin1110100001100111…
…1011101001110000
3101001201212102012100
43220121323221300
530441133041143
61442523300400
7165423622416
oct35031735160
911051772170
103899112048
111720a46657
1290997a700
134a1a599c0
1428dbb12b6
1517c4976d3
hexe867ba70

3899112048 has 120 divisors (see below), whose sum is σ = 12130751360. Its totient is φ = 1161008640.

The previous prime is 3899111987. The next prime is 3899112067. The reversal of 3899112048 is 8402119983.

It is a junction number, because it is equal to n+sod(n) for n = 3899111994 and 3899112012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24438 + ... + 91626.

Almost surely, 23899112048 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 3899112048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6065375680).

3899112048 is an abundant number, since it is smaller than the sum of its proper divisors (8231639312).

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

3899112048 is a wasteful number, since it uses less digits than its factorization.

3899112048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67247 (or 67238 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 3899112048 is about 62442.8702735549. The cubic root of 3899112048 is about 1573.9414468342.

The spelling of 3899112048 in words is "three billion, eight hundred ninety-nine million, one hundred twelve thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 31 36 39 48 52 62 72 78 93 104 117 124 144 156 186 208 234 248 279 312 372 403 468 496 558 624 744 806 936 1116 1209 1488 1612 1872 2232 2418 3224 3627 4464 4836 6448 7254 9672 14508 19344 29016 58032 67189 134378 201567 268756 403134 537512 604701 806268 873457 1075024 1209402 1612536 1746914 2082859 2418804 2620371 3225072 3493828 4165718 4837608 5240742 6248577 6987656 7861113 8331436 9675216 10481484 12497154 13975312 15722226 16662872 18745731 20962968 24994308 27077167 31444452 33325744 37491462 41925936 49988616 54154334 62888904 74982924 81231501 99977232 108308668 125777808 149965848 162463002 216617336 243694503 299931696 324926004 433234672 487389006 649852008 974778012 1299704016 1949556024 3899112048