Search a number
-
+
9789948 = 2232753733
BaseRepresentation
bin100101010110…
…000111111100
3200102101021200
4211112013330
510001234243
6545455500
7146133060
oct45260774
920371250
109789948
115587373
123341590
13204a08c
14142baa0
15cd5ad3
hex9561fc

9789948 has 72 divisors (see below), whose sum is σ = 28855008. Its totient is φ = 2740608.

The previous prime is 9789947. The next prime is 9789953. The reversal of 9789948 is 8499879.

It is a junction number, because it is equal to n+sod(n) for n = 9789894 and 9789903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9789947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12990 + ... + 13722.

It is an arithmetic number, because the mean of its divisors is an integer number (400764).

Almost surely, 29789948 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 9789948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14427504).

9789948 is an abundant number, since it is smaller than the sum of its proper divisors (19065060).

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

9789948 is a wasteful number, since it uses less digits than its factorization.

9789948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 798 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 54.

The square root of 9789948 is about 3128.8892597853. The cubic root of 9789948 is about 213.9243043197.

The spelling of 9789948 in words is "nine million, seven hundred eighty-nine thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 53 63 84 106 126 159 212 252 318 371 477 636 733 742 954 1113 1466 1484 1908 2199 2226 2932 3339 4398 4452 5131 6597 6678 8796 10262 13194 13356 15393 20524 26388 30786 38849 46179 61572 77698 92358 116547 155396 184716 233094 271943 349641 466188 543886 699282 815829 1087772 1398564 1631658 2447487 3263316 4894974 9789948