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2688000928 = 257110711057
BaseRepresentation
bin1010000000110111…
…1010001110100000
320221022221121001221
42200031322032200
521001112012203
61122421104424
7123416426254
oct24015721640
96838847057
102688000928
11115a340978
12630258114
1333ab74cc2
141b6dcc264
1510aeb4abd
hexa037a3a0

2688000928 has 48 divisors (see below), whose sum is σ = 5417181504. Its totient is φ = 1312568320.

The previous prime is 2688000893. The next prime is 2688000941. The reversal of 2688000928 is 8290008862.

It is a super-2 number, since 2×26880009282 = 14450697977857722368, which contains 22 as substring.

Together with 2729180576 it forms an amicable pair .

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 7 ways as a sum of consecutive naturals, for example, 237576 + ... + 248632.

It is an arithmetic number, because the mean of its divisors is an integer number (112857948).

Almost surely, 22688000928 is an apocalyptic number.

It is an amenable number.

2688000928 is an abundant number, since it is smaller than the sum of its proper divisors (2729180576).

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

2688000928 is a wasteful number, since it uses less digits than its factorization.

2688000928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11245 (or 11237 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 43.

The square root of 2688000928 is about 51845.9345368564. The cubic root of 2688000928 is about 1390.4108179621.

The spelling of 2688000928 in words is "two billion, six hundred eighty-eight million, nine hundred twenty-eight", and thus it is an aban number.

Divisors: 1 2 4 8 16 32 71 107 142 214 284 428 568 856 1136 1712 2272 3424 7597 11057 15194 22114 30388 44228 60776 88456 121552 176912 243104 353824 785047 1183099 1570094 2366198 3140188 4732396 6280376 9464792 12560752 18929584 25121504 37859168 84000029 168000058 336000116 672000232 1344000464 2688000928