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2827422976 = 28729411327
BaseRepresentation
bin1010100010000111…
…0000110100000000
321022001021222011111
42220201300310000
521242310013401
61144321253104
7130031461450
oct25041606400
97261258144
102827422976
111221008804
1266aa94194
13360a0c261
141cb721d60
15118354e51
hexa8870d00

2827422976 has 144 divisors (see below), whose sum is σ = 6840368640. Its totient is φ = 1140572160.

The previous prime is 2827422967. The next prime is 2827422977. The reversal of 2827422976 is 6792247282.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2827422977) 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, 2130025 + ... + 2131351.

It is an arithmetic number, because the mean of its divisors is an integer number (47502560).

Almost surely, 22827422976 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 2827422976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3420184320).

2827422976 is an abundant number, since it is smaller than the sum of its proper divisors (4012945664).

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

2827422976 is a wasteful number, since it uses less digits than its factorization.

2827422976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1420 (or 1406 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 49.

The square root of 2827422976 is about 53173.5176192059. The cubic root of 2827422976 is about 1414.0461844397.

The spelling of 2827422976 in words is "two billion, eight hundred twenty-seven million, four hundred twenty-two thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 29 32 41 56 58 64 82 112 116 128 164 203 224 232 256 287 328 406 448 464 574 656 812 896 928 1148 1189 1312 1327 1624 1792 1856 2296 2378 2624 2654 3248 3712 4592 4756 5248 5308 6496 7424 8323 9184 9289 9512 10496 10616 12992 16646 18368 18578 19024 21232 25984 33292 36736 37156 38048 38483 42464 51968 54407 66584 73472 74312 76096 76966 84928 108814 133168 148624 152192 153932 169856 217628 266336 269381 297248 304384 307864 339712 380849 435256 532672 538762 594496 615728 761698 870512 1065344 1077524 1188992 1231456 1523396 1577803 1741024 2130688 2155048 2377984 2462912 3046792 3155606 3482048 4310096 4925824 6093584 6311212 6964096 8620192 9851648 11044621 12187168 12622424 13928192 17240384 22089242 24374336 25244848 34480768 44178484 48748672 50489696 68961536 88356968 97497344 100979392 176713936 201958784 353427872 403917568 706855744 1413711488 2827422976