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8828768 = 2513191117
BaseRepresentation
bin100001101011…
…011101100000
3121121112210102
4201223131200
54230010033
6513121532
7135020564
oct41533540
917545712
108828768
114a90203
122b592a8
131aa1730
14125b6a4
15b95de8
hex86b760

8828768 has 48 divisors (see below), whose sum is σ = 19721520. Its totient is φ = 3856896.

The previous prime is 8828753. The next prime is 8828777. The reversal of 8828768 is 8678288.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 7346 + ... + 8462.

It is an arithmetic number, because the mean of its divisors is an integer number (410865).

Almost surely, 28828768 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 8828768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9860760).

8828768 is an abundant number, since it is smaller than the sum of its proper divisors (10892752).

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

8828768 is a wasteful number, since it uses less digits than its factorization.

8828768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159 (or 1151 counting only the distinct ones).

The product of its digits is 344064, while the sum is 47.

The square root of 8828768 is about 2971.3242838842. The cubic root of 8828768 is about 206.6807528842.

The spelling of 8828768 in words is "eight million, eight hundred twenty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 76 104 152 208 247 304 416 494 608 988 1117 1976 2234 3952 4468 7904 8936 14521 17872 21223 29042 35744 42446 58084 84892 116168 169784 232336 275899 339568 464672 551798 679136 1103596 2207192 4414384 8828768