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813056 = 211397
BaseRepresentation
bin11000110100000000000
31112022022012
43012200000
5202004211
625232052
76624266
oct3064000
91468265
10813056
11505952
12332628
132260ca
14172436
15110d8b
hexc6800

813056 has 24 divisors (see below), whose sum is σ = 1629810. Its totient is φ = 405504.

The previous prime is 813049. The next prime is 813061. The reversal of 813056 is 650318.

813056 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in only one way, i.e., 640000 + 173056 = 800^2 + 416^2 .

It is a super-2 number, since 2×8130562 = 1322120118272, which contains 22 as substring.

It is an unprimeable number.

813056 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1850 + ... + 2246.

2813056 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 813056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814905).

813056 is an abundant number, since it is smaller than the sum of its proper divisors (816754).

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

813056 is an equidigital number, since it uses as much as digits as its factorization.

813056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 813056 is about 901.6961794307. The cubic root of 813056 is about 93.3340589513.

The spelling of 813056 in words is "eight hundred thirteen thousand, fifty-six".

Divisors: 1 2 4 8 16 32 64 128 256 397 512 794 1024 1588 2048 3176 6352 12704 25408 50816 101632 203264 406528 813056