Search a number
-
+
823939328 = 2831473
BaseRepresentation
bin110001000111000…
…101000100000000
32010102101110021102
4301013011010000
53141412024303
6213431513532
726263240322
oct6107050400
92112343242
10823939328
113931018a3
121abb288a8
13101915384
147b5db612
154c505288
hex311c5100

823939328 has 72 divisors (see below), whose sum is σ = 1734620160. Its totient is φ = 390197760.

The previous prime is 823939283. The next prime is 823939339.

823939328 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17530601 + ... + 17530647.

Almost surely, 2823939328 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 823939328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867310080).

823939328 is an abundant number, since it is smaller than the sum of its proper divisors (910680832).

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

823939328 is an frugal number, since it uses more digits than its factorization.

823939328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 80 counting only the distinct ones).

The product of its digits is 559872, while the sum is 47.

The square root of 823939328 is about 28704.3433647244. The cubic root of 823939328 is about 937.4866190209.

The spelling of 823939328 in words is "eight hundred twenty-three million, nine hundred thirty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 31 32 47 62 64 94 124 128 188 248 256 376 496 752 992 1457 1504 1984 2209 2914 3008 3968 4418 5828 6016 7936 8836 11656 12032 17672 23312 35344 46624 68479 70688 93248 103823 136958 141376 186496 207646 273916 282752 372992 415292 547832 565504 830584 1095664 1661168 2191328 3218513 3322336 4382656 6437026 6644672 8765312 12874052 13289344 17530624 25748104 26578688 51496208 102992416 205984832 411969664 823939328