Search a number
-
+
2824058980 = 2251011398049
BaseRepresentation
bin1010100001010011…
…1011100001100100
321021210222001122001
42220110323201210
521240424341410
61144121215044
7126661051051
oct25024734144
97253861561
102824058980
11121a120346
12669931484
13360102022
141cb0c8028
15117ddd33a
hexa853b864

2824058980 has 24 divisors (see below), whose sum is σ = 5989246200. Its totient is φ = 1118438400.

The previous prime is 2824058857. The next prime is 2824058983. The reversal of 2824058980 is 898504282.

It can be written as a sum of positive squares in 4 ways, for example, as 1720756324 + 1103302656 = 41482^2 + 33216^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2824058980.

It is not an unprimeable number, because it can be changed into a prime (2824058983) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 697005 + ... + 701044.

It is an arithmetic number, because the mean of its divisors is an integer number (249551925).

Almost surely, 22824058980 is an apocalyptic number.

2824058980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2824058980 is an abundant number, since it is smaller than the sum of its proper divisors (3165187220).

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

2824058980 is a wasteful number, since it uses less digits than its factorization.

2824058980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1398159 (or 1398157 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 46.

The square root of 2824058980 is about 53141.8759548437. The cubic root of 2824058980 is about 1413.4851631467.

The spelling of 2824058980 in words is "two billion, eight hundred twenty-four million, fifty-eight thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 2020 1398049 2796098 5592196 6990245 13980490 27960980 141202949 282405898 564811796 706014745 1412029490 2824058980