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816713328 = 243193072917
BaseRepresentation
bin110000101011100…
…000111001110000
32002220210100001210
4300223200321300
53133034311303
6213013000120
726144643264
oct6053407160
92086710053
10816713328
1138a0168a2
121a9623040
13100285332
147a67a0a4
154ba79203
hex30ae0e70

816713328 has 80 divisors (see below), whose sum is σ = 2228885120. Its totient is φ = 256981248.

The previous prime is 816713299. The next prime is 816713329. The reversal of 816713328 is 823317618.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (816713329) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 278526 + ... + 281442.

It is an arithmetic number, because the mean of its divisors is an integer number (27861064).

Almost surely, 2816713328 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 816713328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1114442560).

816713328 is an abundant number, since it is smaller than the sum of its proper divisors (1412171792).

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

816713328 is a wasteful number, since it uses less digits than its factorization.

816713328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3254 (or 3248 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 816713328 is about 28578.1967240762. The cubic root of 816713328 is about 934.7379623538.

The spelling of 816713328 in words is "eight hundred sixteen million, seven hundred thirteen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 307 456 614 912 921 1228 1842 2456 2917 3684 4912 5833 5834 7368 8751 11666 11668 14736 17499 17502 23332 23336 34998 35004 46664 46672 55423 69996 70008 93328 110846 139992 140016 166269 221692 279984 332538 443384 665076 886768 895519 1330152 1791038 2660304 2686557 3582076 5373114 7164152 10746228 14328304 17014861 21492456 34029722 42984912 51044583 68059444 102089166 136118888 204178332 272237776 408356664 816713328