Search a number
-
+
4689168 = 2431183107
BaseRepresentation
bin10001111000110100010000
322211020022220
4101320310100
52200023133
6244301040
754600021
oct21706420
98736286
104689168
112713050
1216a1780
13c82473
148a0c48
156295b3
hex478d10

4689168 has 80 divisors (see below), whose sum is σ = 13499136. Its totient is φ = 1390720.

The previous prime is 4689163. The next prime is 4689169. The reversal of 4689168 is 8619864.

It is not an unprimeable number, because it can be changed into a prime (4689163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43771 + ... + 43877.

Almost surely, 24689168 is an apocalyptic number.

4689168 is a gapful number since it is divisible by the number (48) 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 4689168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6749568).

4689168 is an abundant number, since it is smaller than the sum of its proper divisors (8809968).

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

4689168 is a wasteful number, since it uses less digits than its factorization.

4689168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 206 counting only the distinct ones).

The product of its digits is 82944, while the sum is 42.

The square root of 4689168 is about 2165.4486832987. The cubic root of 4689168 is about 167.3780860848.

The spelling of 4689168 in words is "four million, six hundred eighty-nine thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 83 88 107 132 166 176 214 249 264 321 332 428 498 528 642 664 856 913 996 1177 1284 1328 1712 1826 1992 2354 2568 2739 3531 3652 3984 4708 5136 5478 7062 7304 8881 9416 10956 14124 14608 17762 18832 21912 26643 28248 35524 43824 53286 56496 71048 97691 106572 142096 195382 213144 293073 390764 426288 586146 781528 1172292 1563056 2344584 4689168