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2688000894 = 232295397159
BaseRepresentation
bin1010000000110111…
…1010001101111110
320221022221121000200
42200031322031332
521001112012034
61122421104330
7123416426205
oct24015721576
96838847020
102688000894
11115a340947
126302580a6
1333ab74c97
141b6dcc23c
1510aeb4a99
hexa037a37e

2688000894 has 48 divisors (see below), whose sum is σ = 6138568800. Its totient is φ = 848772288.

The previous prime is 2688000893. The next prime is 2688000941. The reversal of 2688000894 is 4980008862.

It is a happy number.

It is a super-2 number, since 2×26880008942 = 14450697612289598472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2688000893) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20914 + ... + 76245.

It is an arithmetic number, because the mean of its divisors is an integer number (127886850).

Almost surely, 22688000894 is an apocalyptic number.

2688000894 is an abundant number, since it is smaller than the sum of its proper divisors (3450567906).

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

2688000894 is a wasteful number, since it uses less digits than its factorization.

2688000894 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97249 (or 97246 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 2688000894 is about 51845.9342089618. The cubic root of 2688000894 is about 1390.4108120998.

The spelling of 2688000894 in words is "two billion, six hundred eighty-eight million, eight hundred ninety-four", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 29 53 58 87 106 159 174 261 318 477 522 954 1537 3074 4611 9222 13833 27666 97159 194318 291477 582954 874431 1748862 2817611 5149427 5635222 8452833 10298854 15448281 16905666 25358499 30896562 46344843 50716998 92689686 149333383 298666766 448000149 896000298 1344000447 2688000894