Search a number
-
+
7921328 = 241971367
BaseRepresentation
bin11110001101111010110000
3112220110000112
4132031322300
54011440303
6441440452
7124221152
oct36157260
915813015
107921328
114520458
1227a0128
13184469c
1410a2ad2
15a670d8
hex78deb0

7921328 has 40 divisors (see below), whose sum is σ = 16427520. Its totient is φ = 3689280.

The previous prime is 7921313. The next prime is 7921351. The reversal of 7921328 is 8231297.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 7921294 and 7921303.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 21401 + ... + 21767.

It is an arithmetic number, because the mean of its divisors is an integer number (410688).

Almost surely, 27921328 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 7921328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8213760).

7921328 is an abundant number, since it is smaller than the sum of its proper divisors (8506192).

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

7921328 is a wasteful number, since it uses less digits than its factorization.

7921328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 459 counting only the distinct ones).

The product of its digits is 6048, while the sum is 32.

The square root of 7921328 is about 2814.4853881305. The cubic root of 7921328 is about 199.3422391247.

The spelling of 7921328 in words is "seven million, nine hundred twenty-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 19 38 71 76 142 152 284 304 367 568 734 1136 1349 1468 2698 2936 5396 5872 6973 10792 13946 21584 26057 27892 52114 55784 104228 111568 208456 416912 495083 990166 1980332 3960664 7921328