Search a number
-
+
9889248 = 253313323
BaseRepresentation
bin100101101110…
…010111100000
3200121102111110
4211232113200
510012423443
6551543320
7150025425
oct45562740
920542443
109889248
115644a36
12338ab40
132083335
141455d4c
15d05233
hex96e5e0

9889248 has 48 divisors (see below), whose sum is σ = 26804736. Its totient is φ = 3189120.

The previous prime is 9889207. The next prime is 9889283. The reversal of 9889248 is 8429889.

9889248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 9889197 and 9889206.

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, 1315 + ... + 4637.

It is an arithmetic number, because the mean of its divisors is an integer number (558432).

Almost surely, 29889248 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 9889248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13402368).

9889248 is an abundant number, since it is smaller than the sum of its proper divisors (16915488).

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

9889248 is a wasteful number, since it uses less digits than its factorization.

9889248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3367 (or 3359 counting only the distinct ones).

The product of its digits is 331776, while the sum is 48.

The square root of 9889248 is about 3144.7174753863. The cubic root of 9889248 is about 214.6451547099.

The spelling of 9889248 in words is "nine million, eight hundred eighty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 3323 6646 9969 13292 19938 26584 39876 53168 79752 103013 106336 159504 206026 309039 319008 412052 618078 824104 1236156 1648208 2472312 3296416 4944624 9889248