Search a number
-
+
9947968 = 26374201
BaseRepresentation
bin100101111100…
…101101000000
3200201102001021
4211330231000
510021313333
6553115224
7150361552
oct45745500
920642037
109947968
115685068
1233b8b14
1320a3c94
14146d4d2
15d1782d
hex97cb40

9947968 has 28 divisors (see below), whose sum is σ = 20278852. Its totient is φ = 4838400.

The previous prime is 9947947. The next prime is 9947969. The reversal of 9947968 is 8697499.

It can be written as a sum of positive squares in 2 ways, for example, as 4528384 + 5419584 = 2128^2 + 2328^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9947969) 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 3 ways as a sum of consecutive naturals, for example, 268 + ... + 4468.

Almost surely, 29947968 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 9947968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10139426).

9947968 is an abundant number, since it is smaller than the sum of its proper divisors (10330884).

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

9947968 is a wasteful number, since it uses less digits than its factorization.

9947968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4250 (or 4240 counting only the distinct ones).

The product of its digits is 979776, while the sum is 52.

The square root of 9947968 is about 3154.0399490178. The cubic root of 9947968 is about 215.0691538858.

The spelling of 9947968 in words is "nine million, nine hundred forty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 32 37 64 74 148 296 592 1184 2368 4201 8402 16804 33608 67216 134432 155437 268864 310874 621748 1243496 2486992 4973984 9947968