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2688254352 = 243372338651
BaseRepresentation
bin1010000000111011…
…1000000110010000
320221100102110201000
42200032320012100
521001143114402
61122430342000
7123421533150
oct24016700620
96840373630
102688254352
11115a4a4313
1263035a900
1333ac33464
141b7056760
1510b014c1c
hexa03b8190

2688254352 has 160 divisors (see below), whose sum is σ = 9202268160. Its totient is φ = 734659200.

The previous prime is 2688254321. The next prime is 2688254357. The reversal of 2688254352 is 2534528862.

2688254352 is a `hidden beast` number, since 26 + 8 + 82 + 543 + 5 + 2 = 666.

It is a super-2 number, since 2×26882543522 = 14453422922093879808, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2688254298 and 2688254307.

It is not an unprimeable number, because it can be changed into a prime (2688254357) 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 31 ways as a sum of consecutive naturals, for example, 50227 + ... + 88877.

It is an arithmetic number, because the mean of its divisors is an integer number (57514176).

Almost surely, 22688254352 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 2688254352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4601134080).

2688254352 is an abundant number, since it is smaller than the sum of its proper divisors (6514013808).

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

2688254352 is a wasteful number, since it uses less digits than its factorization.

2688254352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38698 (or 38686 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

The square root of 2688254352 is about 51848.3784895921. The cubic root of 2688254352 is about 1390.4545124409.

The spelling of 2688254352 in words is "two billion, six hundred eighty-eight million, two hundred fifty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 27 28 36 42 46 48 54 56 63 69 72 84 92 108 112 126 138 144 161 168 184 189 207 216 252 276 322 336 368 378 414 432 483 504 552 621 644 756 828 966 1008 1104 1242 1288 1449 1512 1656 1932 2484 2576 2898 3024 3312 3864 4347 4968 5796 7728 8694 9936 11592 17388 23184 34776 38651 69552 77302 115953 154604 231906 270557 309208 347859 463812 541114 618416 695718 811671 888973 927624 1043577 1082228 1391436 1623342 1777946 1855248 2087154 2164456 2435013 2666919 2782872 3246684 3555892 4174308 4328912 4870026 5333838 5565744 6222811 6493368 7111784 7305039 8000757 8348616 9740052 10667676 12445622 12986736 14223568 14610078 16001514 16697232 18668433 19480104 21335352 24002271 24891244 29220156 32003028 37336866 38960208 42670704 48004542 49782488 56005299 58440312 64006056 74673732 96009084 99564976 112010598 116880624 128012112 149347464 168015897 192018168 224021196 298694928 336031794 384036336 448042392 672063588 896084784 1344127176 2688254352