Search a number
-
+
823081408 = 2679173941
BaseRepresentation
bin110001000011110…
…011100111000000
32010100202212102121
4301003303213000
53141202101113
6213401254024
726253035152
oct6103634700
92110685377
10823081408
11392676276
121ab794314
131016a4a26
147b456ad2
154c3d5e8d
hex310f39c0

823081408 has 56 divisors (see below), whose sum is σ = 1665305280. Its totient is φ = 403553280.

The previous prime is 823081397. The next prime is 823081423. The reversal of 823081408 is 804180328.

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, 874218 + ... + 875158.

Almost surely, 2823081408 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 823081408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832652640).

823081408 is an abundant number, since it is smaller than the sum of its proper divisors (842223872).

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

823081408 is a wasteful number, since it uses less digits than its factorization.

823081408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205 (or 1195 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 823081408 is about 28689.3953927231. The cubic root of 823081408 is about 937.1611226292.

The spelling of 823081408 in words is "eight hundred twenty-three million, eighty-one thousand, four hundred eight".

Divisors: 1 2 4 8 16 32 64 79 158 173 316 346 632 692 941 1264 1384 1882 2528 2768 3764 5056 5536 7528 11072 13667 15056 27334 30112 54668 60224 74339 109336 148678 162793 218672 297356 325586 437344 594712 651172 874688 1189424 1302344 2378848 2604688 4757696 5209376 10418752 12860647 25721294 51442588 102885176 205770352 411540704 823081408