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2805120552 = 2331347233821
BaseRepresentation
bin1010011100110010…
…1011111000101000
321020111022212222210
42213030223320220
521221102324202
61142203245120
7126341063013
oct24714537050
97214285883
102805120552
11120a465653
126635197a0
13359200b60
141c879837a
151163ebc6c
hexa732be28

2805120552 has 128 divisors (see below), whose sum is σ = 7755471360. Its totient is φ = 840099840.

The previous prime is 2805120533. The next prime is 2805120569. The reversal of 2805120552 is 2550215082.

2805120552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×28051205522 = 15737402622505569408, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3416302 + ... + 3417122.

It is an arithmetic number, because the mean of its divisors is an integer number (60589620).

Almost surely, 22805120552 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 2805120552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3877735680).

2805120552 is an abundant number, since it is smaller than the sum of its proper divisors (4950350808).

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

2805120552 is a wasteful number, since it uses less digits than its factorization.

2805120552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 30.

The square root of 2805120552 is about 52963.3887888606. The cubic root of 2805120552 is about 1410.3184150857.

The spelling of 2805120552 in words is "two billion, eight hundred five million, one hundred twenty thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 47 52 78 94 104 141 156 188 233 282 312 376 466 564 611 699 821 932 1128 1222 1398 1642 1833 1864 2444 2463 2796 3029 3284 3666 4888 4926 5592 6058 6568 7332 9087 9852 10673 10951 12116 14664 18174 19704 21346 21902 24232 32019 32853 36348 38587 42692 43804 64038 65706 72696 77174 85384 87608 115761 128076 131412 142363 154348 191293 231522 256152 262824 284726 308696 382586 427089 463044 501631 569452 573879 765172 854178 926088 1003262 1138904 1147758 1504893 1530344 1708356 2006524 2295516 2486809 3009786 3416712 4013048 4591032 4973618 6019572 7460427 8990771 9947236 12039144 14920854 17981542 19894472 26972313 29841708 35963084 53944626 59683416 71926168 107889252 116880023 215778504 233760046 350640069 467520092 701280138 935040184 1402560276 2805120552