Search a number
-
+
2855411900 = 2252117973257
BaseRepresentation
bin1010101000110010…
…0010000010111100
321100222221221202022
42222030202002330
521321441140100
61151201215312
7130521413015
oct25214420274
97328857668
102855411900
111235895250
12678331538
1336675ba53
141d132a00c
1511aa32e85
hexaa3220bc

2855411900 has 72 divisors (see below), whose sum is σ = 6770097936. Its totient is φ = 1036710400.

The previous prime is 2855411887. The next prime is 2855411917. The reversal of 2855411900 is 91145582.

It is a super-2 number, since 2×28554119002 = 16306754237323220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 875072 + ... + 878328.

It is an arithmetic number, because the mean of its divisors is an integer number (94029138).

Almost surely, 22855411900 is an apocalyptic number.

2855411900 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 2855411900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3385048968).

2855411900 is an abundant number, since it is smaller than the sum of its proper divisors (3914686036).

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

2855411900 is a wasteful number, since it uses less digits than its factorization.

2855411900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4079 (or 4072 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 35.

The square root of 2855411900 is about 53436.0543079296. The cubic root of 2855411900 is about 1418.6967974771.

The spelling of 2855411900 in words is "two billion, eight hundred fifty-five million, four hundred eleven thousand, nine hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 797 1100 1594 3188 3257 3985 6514 7970 8767 13028 15940 16285 17534 19925 32570 35068 35827 39850 43835 65140 71654 79700 81425 87670 143308 162850 175340 179135 219175 325700 358270 438350 716540 876700 895675 1791350 2595829 3582700 5191658 10383316 12979145 25958290 28554119 51916580 57108238 64895725 114216476 129791450 142770595 259582900 285541190 571082380 713852975 1427705950 2855411900