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816485328 = 2432191072789
BaseRepresentation
bin110000101010101…
…001001111010000
32002220100202022100
4300222221033100
53133010012303
6213004040400
726143003461
oct6052511720
92086322270
10816485328
1138998056a
121a9533100
13100205619
147a61ad68
154ba318a3
hex30aa93d0

816485328 has 120 divisors (see below), whose sum is σ = 2428639200. Its totient is φ = 255336192.

The previous prime is 816485317. The next prime is 816485381. The reversal of 816485328 is 823584618.

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 23 ways as a sum of consecutive naturals, for example, 291358 + ... + 294146.

It is an arithmetic number, because the mean of its divisors is an integer number (20238660).

Almost surely, 2816485328 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 816485328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1214319600).

816485328 is an abundant number, since it is smaller than the sum of its proper divisors (1612153872).

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

816485328 is a wasteful number, since it uses less digits than its factorization.

816485328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2929 (or 2920 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 816485328 is about 28574.2073905822. The cubic root of 816485328 is about 934.6509713688.

The spelling of 816485328 in words is "eight hundred sixteen million, four hundred eighty-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 107 114 144 152 171 214 228 304 321 342 428 456 642 684 856 912 963 1284 1368 1712 1926 2033 2568 2736 2789 3852 4066 5136 5578 6099 7704 8132 8367 11156 12198 15408 16264 16734 18297 22312 24396 25101 32528 33468 36594 44624 48792 50202 52991 66936 73188 97584 100404 105982 133872 146376 158973 200808 211964 292752 298423 317946 401616 423928 476919 596846 635892 847856 895269 953838 1193692 1271784 1790538 1907676 2387384 2543568 2685807 3581076 3815352 4774768 5371614 5670037 7162152 7630704 10743228 11340074 14324304 17010111 21486456 22680148 34020222 42972912 45360296 51030333 68040444 90720592 102060666 136080888 204121332 272161776 408242664 816485328