Search a number
-
+
9768832 = 27167457
BaseRepresentation
bin100101010000…
…111110000000
3200101022022121
4211100332000
510000100312
6545214024
7146014363
oct45207600
920338277
109768832
115572517
123331314
132040598
1414240da
15cce707
hex950f80

9768832 has 32 divisors (see below), whose sum is σ = 19620720. Its totient is φ = 4844544.

The previous prime is 9768823. The next prime is 9768833. The reversal of 9768832 is 2388679.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9768833) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21148 + ... + 21604.

Almost surely, 29768832 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 9768832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9810360).

9768832 is an abundant number, since it is smaller than the sum of its proper divisors (9851888).

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

9768832 is a wasteful number, since it uses less digits than its factorization.

9768832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 626 counting only the distinct ones).

The product of its digits is 145152, while the sum is 43.

The square root of 9768832 is about 3125.5130778802. The cubic root of 9768832 is about 213.7703887167.

The spelling of 9768832 in words is "nine million, seven hundred sixty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 128 167 334 457 668 914 1336 1828 2672 3656 5344 7312 10688 14624 21376 29248 58496 76319 152638 305276 610552 1221104 2442208 4884416 9768832