Search a number
-
+
9668648 = 23111723281
BaseRepresentation
bin100100111000…
…100000101000
3200012012220002
4210320200220
54433344043
6543122132
7145116323
oct44704050
920165802
109668648
115504220
1232a3348
132006ac2
1413d97ba
15caebb8
hex938828

9668648 has 64 divisors (see below), whose sum is σ = 21928320. Its totient is φ = 3942400.

The previous prime is 9668647. The next prime is 9668651. The reversal of 9668648 is 8468669.

It is not an unprimeable number, because it can be changed into a prime (9668647) 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, 34268 + ... + 34548.

It is an arithmetic number, because the mean of its divisors is an integer number (342630).

Almost surely, 29668648 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 9668648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10964160).

9668648 is an abundant number, since it is smaller than the sum of its proper divisors (12259672).

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

9668648 is a wasteful number, since it uses less digits than its factorization.

9668648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 334 counting only the distinct ones).

The product of its digits is 497664, while the sum is 47.

The square root of 9668648 is about 3109.4449665495. Note that the first 3 decimals coincide. The cubic root of 9668648 is about 213.0371040448.

The spelling of 9668648 in words is "nine million, six hundred sixty-eight thousand, six hundred forty-eight".

Divisors: 1 2 4 8 11 17 22 23 34 44 46 68 88 92 136 184 187 253 281 374 391 506 562 748 782 1012 1124 1496 1564 2024 2248 3091 3128 4301 4777 6182 6463 8602 9554 12364 12926 17204 19108 24728 25852 34408 38216 51704 52547 71093 105094 109871 142186 210188 219742 284372 420376 439484 568744 878968 1208581 2417162 4834324 9668648