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2820045888 = 263311148361
BaseRepresentation
bin1010100000010110…
…0111110001000000
321021112102011201000
42220011213301000
521233412432023
61143455212000
7126611665062
oct25005476100
97245364630
102820045888
11121792a240
12668517000
1335c32850a
141ca761732
15117899243
hexa8167c40

2820045888 has 112 divisors (see below), whose sum is σ = 9044147520. Its totient is φ = 854553600.

The previous prime is 2820045881. The next prime is 2820045953. The reversal of 2820045888 is 8885400282.

It is not an unprimeable number, because it can be changed into a prime (2820045881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55173 + ... + 93188.

Almost surely, 22820045888 is an apocalyptic number.

It is an amenable number.

2820045888 is an abundant number, since it is smaller than the sum of its proper divisors (6224101632).

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

2820045888 is a wasteful number, since it uses less digits than its factorization.

2820045888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148393 (or 148377 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 45.

The square root of 2820045888 is about 53104.1042481652. The cubic root of 2820045888 is about 1412.8153075615.

It can be divided in two parts, 28200 and 45888, that added together give a cube (74088 = 423).

The spelling of 2820045888 in words is "two billion, eight hundred twenty million, forty-five thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 132 144 176 192 198 216 264 288 297 352 396 432 528 576 594 704 792 864 1056 1188 1584 1728 2112 2376 3168 4752 6336 9504 19008 148361 296722 445083 593444 890166 1186888 1335249 1631971 1780332 2373776 2670498 3263942 3560664 4005747 4747552 4895913 5340996 6527884 7121328 8011494 9495104 9791826 10681992 13055768 14242656 14687739 16022988 19583652 21363984 26111536 28485312 29375478 32045976 39167304 42727968 44063217 52223072 58750956 64091952 78334608 85455936 88126434 104446144 117501912 128183904 156669216 176252868 235003824 256367808 313338432 352505736 470007648 705011472 940015296 1410022944 2820045888