Search a number
-
+
4428118244 = 2211314179181
BaseRepresentation
bin1000001111110111…
…11011100011100100
3102102121021201021102
410013323323203210
533032044240434
62011221535232
7214506245504
oct40773734344
912377251242
104428118244
111972614860
12a36b74518
13557529614
14300157a04
151adb4007e
hex107efb8e4

4428118244 has 48 divisors (see below), whose sum is σ = 8939331072. Its totient is φ = 1900320000.

The previous prime is 4428118243. The next prime is 4428118291.

4428118244 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4428118198 and 4428118207.

It is not an unprimeable number, because it can be changed into a prime (4428118241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16334 + ... + 95514.

It is an arithmetic number, because the mean of its divisors is an integer number (186236064).

Almost surely, 24428118244 is an apocalyptic number.

4428118244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4428118244 is an abundant number, since it is smaller than the sum of its proper divisors (4511212828).

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

4428118244 is a wasteful number, since it uses less digits than its factorization.

4428118244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79268 (or 79266 counting only the distinct ones).

The product of its digits is 65536, while the sum is 38.

The square root of 4428118244 is about 66544.1075077275. The cubic root of 4428118244 is about 1642.1257191255.

The spelling of 4428118244 in words is "four billion, four hundred twenty-eight million, one hundred eighteen thousand, two hundred forty-four".

Divisors: 1 2 4 11 22 31 41 44 62 82 124 164 341 451 682 902 1271 1364 1804 2542 5084 13981 27962 55924 79181 158362 316724 870991 1741982 2454611 3246421 3483964 4909222 6492842 9818444 12985684 27000721 35710631 54001442 71421262 100639051 108002884 142842524 201278102 402556204 1107029561 2214059122 4428118244