Search a number
-
+
9780832 = 25537379
BaseRepresentation
bin100101010011…
…111001100000
3200101220210001
4211103321200
510000441312
6545345344
7146064355
oct45237140
920356701
109780832
115580536
123338254
132045b99
14142862c
15cd3057
hex953e60

9780832 has 48 divisors (see below), whose sum is σ = 20139840. Its totient is φ = 4672512.

The previous prime is 9780829. The next prime is 9780847. The reversal of 9780832 is 2380879.

It is a super-2 number, since 2×97808322 = 191329349224448, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 9780791 and 9780800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123769 + ... + 123847.

It is an arithmetic number, because the mean of its divisors is an integer number (419580).

Almost surely, 29780832 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 9780832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10069920).

9780832 is an abundant number, since it is smaller than the sum of its proper divisors (10359008).

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

9780832 is a wasteful number, since it uses less digits than its factorization.

9780832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 9780832 is about 3127.4321735251. The cubic root of 9780832 is about 213.8578845060.

The spelling of 9780832 in words is "nine million, seven hundred eighty thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 16 32 53 73 79 106 146 158 212 292 316 424 584 632 848 1168 1264 1696 2336 2528 3869 4187 5767 7738 8374 11534 15476 16748 23068 30952 33496 46136 61904 66992 92272 123808 133984 184544 305651 611302 1222604 2445208 4890416 9780832