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9956112 = 243415059
BaseRepresentation
bin100101111110…
…101100010000
3200201211012220
4211332230100
510022043422
6553221040
7150424365
oct45765420
920654186
109956112
1156901a1
123401780
1320a78ba
14147246c
15d19e5c
hex97eb10

9956112 has 40 divisors (see below), whose sum is σ = 26352480. Its totient is φ = 3237120.

The previous prime is 9956087. The next prime is 9956113. The reversal of 9956112 is 2116599.

9956112 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (9956113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 562 + ... + 4497.

It is an arithmetic number, because the mean of its divisors is an integer number (658812).

Almost surely, 29956112 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 9956112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13176240).

9956112 is an abundant number, since it is smaller than the sum of its proper divisors (16396368).

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

9956112 is a wasteful number, since it uses less digits than its factorization.

9956112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5111 (or 5105 counting only the distinct ones).

The product of its digits is 4860, while the sum is 33.

The square root of 9956112 is about 3155.3307275149. The cubic root of 9956112 is about 215.1278273569.

The spelling of 9956112 in words is "nine million, nine hundred fifty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 328 492 656 984 1968 5059 10118 15177 20236 30354 40472 60708 80944 121416 207419 242832 414838 622257 829676 1244514 1659352 2489028 3318704 4978056 9956112