Search a number
-
+
1820044772 = 2271334914327
BaseRepresentation
bin110110001111011…
…1010110111100100
311200211201212001122
41230132322313210
512211412413042
6500333513112
763050060660
oct15436726744
94624655048
101820044772
11854405637
12429642798
132300ba990
14133a138a0
15a9bb77d2
hex6c7bade4

1820044772 has 48 divisors (see below), whose sum is σ = 3931603200. Its totient is φ = 717904512.

The previous prime is 1820044771. The next prime is 1820044781. The reversal of 1820044772 is 2774400281.

It is a happy number.

1820044772 is a modest number, since divided by 44772 gives 18200 as remainder.

It is not an unprimeable number, because it can be changed into a prime (1820044771) 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, 119873 + ... + 134199.

It is an arithmetic number, because the mean of its divisors is an integer number (81908400).

Almost surely, 21820044772 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 1820044772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1965801600).

1820044772 is an abundant number, since it is smaller than the sum of its proper divisors (2111558428).

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

1820044772 is a wasteful number, since it uses less digits than its factorization.

1820044772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14700 (or 14698 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 35.

The square root of 1820044772 is about 42661.9827481096. The cubic root of 1820044772 is about 1220.9391612837.

The spelling of 1820044772 in words is "one billion, eight hundred twenty million, forty-four thousand, seven hundred seventy-two".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 349 364 698 1396 2443 4537 4886 9074 9772 14327 18148 28654 31759 57308 63518 100289 127036 186251 200578 372502 401156 745004 1303757 2607514 5000123 5215028 10000246 20000492 35000861 65001599 70001722 130003198 140003444 260006396 455011193 910022386 1820044772