Search a number
-
+
9766848 = 263713243
BaseRepresentation
bin100101010000…
…011111000000
3200101012121010
4211100133000
510000014343
6545200520
7146005530
oct45203700
920335533
109766848
115570a83
123330140
13203c700
1414234c0
15ccdd33
hex9507c0

9766848 has 168 divisors, whose sum is σ = 32723328. Its totient is φ = 2515968.

The previous prime is 9766847. The next prime is 9766871. The reversal of 9766848 is 8486679.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a zygodrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 9766797 and 9766806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9766843) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 227115 + ... + 227157.

Almost surely, 29766848 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 9766848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16361664).

9766848 is an abundant number, since it is smaller than the sum of its proper divisors (22956480).

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

9766848 is a wasteful number, since it uses less digits than its factorization.

9766848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 68 counting only the distinct ones).

The product of its digits is 580608, while the sum is 48.

The square root of 9766848 is about 3125.1956738739. The cubic root of 9766848 is about 213.7559158446.

The spelling of 9766848 in words is "nine million, seven hundred sixty-six thousand, eight hundred forty-eight".