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9668048 = 241353877
BaseRepresentation
bin100100111000…
…010111010000
3200012012001212
4210320113100
54433334143
6543115252
7145114505
oct44702720
920165055
109668048
115503825
1232a2b28
132006750
1413d94ac
15cae918
hex9385d0

9668048 has 40 divisors (see below), whose sum is σ = 20576808. Its totient is φ = 4372992.

The previous prime is 9668039. The next prime is 9668051. The reversal of 9668048 is 8408669.

It can be written as a sum of positive squares in 4 ways, for example, as 2226064 + 7441984 = 1492^2 + 2728^2 .

It is a junction number, because it is equal to n+sod(n) for n = 9667996 and 9668014.

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, 10586 + ... + 11462.

Almost surely, 29668048 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 9668048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10288404).

9668048 is an abundant number, since it is smaller than the sum of its proper divisors (10908760).

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

9668048 is a wasteful number, since it uses less digits than its factorization.

9668048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 41.

The square root of 9668048 is about 3109.3484848116. The cubic root of 9668048 is about 213.0326971927.

The spelling of 9668048 in words is "nine million, six hundred sixty-eight thousand, forty-eight".

Divisors: 1 2 4 8 13 16 26 52 53 104 106 208 212 424 689 848 877 1378 1754 2756 3508 5512 7016 11024 11401 14032 22802 45604 46481 91208 92962 182416 185924 371848 604253 743696 1208506 2417012 4834024 9668048