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8768864 = 2513107197
BaseRepresentation
bin100001011100…
…110101100000
3121111111121202
4201130311200
54221100424
6511540332
7134351126
oct41346540
917444552
108768864
114a4a1a5
122b2a6a8
131a803a0
141243916
15b832ae
hex85cd60

8768864 has 48 divisors (see below), whose sum is σ = 18860688. Its totient is φ = 3988992.

The previous prime is 8768843. The next prime is 8768887. The reversal of 8768864 is 4688678.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44414 + ... + 44610.

It is an arithmetic number, because the mean of its divisors is an integer number (392931).

Almost surely, 28768864 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 8768864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9430344).

8768864 is an abundant number, since it is smaller than the sum of its proper divisors (10091824).

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

8768864 is a wasteful number, since it uses less digits than its factorization.

8768864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 319 counting only the distinct ones).

The product of its digits is 516096, while the sum is 47.

The square root of 8768864 is about 2961.2267728089. The cubic root of 8768864 is about 206.2122423689.

The spelling of 8768864 in words is "eight million, seven hundred sixty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 107 197 208 214 394 416 428 788 856 1391 1576 1712 2561 2782 3152 3424 5122 5564 6304 10244 11128 20488 21079 22256 40976 42158 44512 81952 84316 168632 274027 337264 548054 674528 1096108 2192216 4384432 8768864