Search a number
-
+
2831289400 = 235247359839
BaseRepresentation
bin1010100011000010…
…0000110000111000
321022022120101220101
42220300200300320
521244302230100
61144540205144
7130106364022
oct25060406070
97268511811
102831289400
1112232096a5
126702397b4
13361764094
141cc04b012
1511886a86a
hexa8c20c38

2831289400 has 96 divisors (see below), whose sum is σ = 6749568000. Its totient is φ = 1104014720.

The previous prime is 2831289371. The next prime is 2831289407. The reversal of 2831289400 is 49821382.

It is a self number, because there is not a number n which added to its sum of digits gives 2831289400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2831289407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3374181 + ... + 3375019.

It is an arithmetic number, because the mean of its divisors is an integer number (70308000).

Almost surely, 22831289400 is an apocalyptic number.

2831289400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2831289400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3374784000).

2831289400 is an abundant number, since it is smaller than the sum of its proper divisors (3918278600).

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

2831289400 is a wasteful number, since it uses less digits than its factorization.

2831289400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 2831289400 is about 53209.8618678906. The cubic root of 2831289400 is about 1414.6904474209.

The spelling of 2831289400 in words is "two billion, eight hundred thirty-one million, two hundred eighty-nine thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 188 200 235 359 376 470 718 839 940 1175 1436 1678 1795 1880 2350 2872 3356 3590 4195 4700 6712 7180 8390 8975 9400 14360 16780 16873 17950 20975 33560 33746 35900 39433 41950 67492 71800 78866 83900 84365 134984 157732 167800 168730 197165 301201 315464 337460 394330 421825 602402 674920 788660 843650 985825 1204804 1506005 1577320 1687300 1971650 2409608 3012010 3374600 3943300 6024020 7530025 7886600 12048040 14156447 15060050 28312894 30120100 56625788 60240200 70782235 113251576 141564470 283128940 353911175 566257880 707822350 1415644700 2831289400