Search a number
-
+
9682368 = 263211239
BaseRepresentation
bin100100111011…
…110111000000
3200012220201020
4210323313000
54434313433
6543305440
7145204323
oct44736700
920186636
109682368
115513563
1232ab280
132010117
1414007ba
15cb3cb3
hex93bdc0

9682368 has 56 divisors (see below), whose sum is σ = 25847040. Its totient is φ = 3198720.

The previous prime is 9682339. The next prime is 9682369. The reversal of 9682368 is 8632869.

9682368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9682369) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40393 + ... + 40631.

Almost surely, 29682368 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 9682368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12923520).

9682368 is an abundant number, since it is smaller than the sum of its proper divisors (16164672).

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

9682368 is a wasteful number, since it uses less digits than its factorization.

9682368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 455 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 9682368 is about 3111.6503659634. The cubic root of 9682368 is about 213.1378243531.

The spelling of 9682368 in words is "nine million, six hundred eighty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 211 239 422 478 633 717 844 956 1266 1434 1688 1912 2532 2868 3376 3824 5064 5736 6752 7648 10128 11472 13504 15296 20256 22944 40512 45888 50429 100858 151287 201716 302574 403432 605148 806864 1210296 1613728 2420592 3227456 4841184 9682368