Search a number
-
+
8689648 = 241197509
BaseRepresentation
bin100001001001…
…011111110000
3121100110221211
4201021133300
54211032043
6510125504
7133601152
oct41113760
917313854
108689648
1149a5730
122ab0894
131a53306
141222ad2
15b69a9d
hex8497f0

8689648 has 40 divisors (see below), whose sum is σ = 18592560. Its totient is φ = 3901440.

The previous prime is 8689643. The next prime is 8689649. The reversal of 8689648 is 8469868.

8689648 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8689643) 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 7 ways as a sum of consecutive naturals, for example, 16818 + ... + 17326.

It is an arithmetic number, because the mean of its divisors is an integer number (464814).

Almost surely, 28689648 is an apocalyptic number.

8689648 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8689648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9296280).

8689648 is an abundant number, since it is smaller than the sum of its proper divisors (9902912).

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

8689648 is a wasteful number, since it uses less digits than its factorization.

8689648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 619 counting only the distinct ones).

The product of its digits is 663552, while the sum is 49.

The square root of 8689648 is about 2947.8208900813. The cubic root of 8689648 is about 205.5894042898.

The spelling of 8689648 in words is "eight million, six hundred eighty-nine thousand, six hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 44 88 97 176 194 388 509 776 1018 1067 1552 2036 2134 4072 4268 5599 8144 8536 11198 17072 22396 44792 49373 89584 98746 197492 394984 543103 789968 1086206 2172412 4344824 8689648