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802816 = 21472
BaseRepresentation
bin11000100000000000000
31111210020221
43010000000
5201142231
625112424
76552400
oct3040000
91453227
10802816
114a9193
12328714
13221551
1416c800
1510cd11
hexc4000

802816 has 45 divisors (see below), whose sum is σ = 1867719. Its totient is φ = 344064.

The previous prime is 802811. The next prime is 802829. The reversal of 802816 is 618208.

Multipling 802816 by its sum of digits (25), we get a square (20070400 = 44802).

The square root of 802816 is 896.

It is a perfect power (a square), and thus also a powerful number.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (802811) by changing a digit.

802816 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 (3) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 114685 + ... + 114691.

802816 is a Friedman number, since it can be written as (810+86)^2, using all its digits and the basic arithmetic operations.

2802816 is an apocalyptic number.

802816 is the 896-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 802816

802816 is an abundant number, since it is smaller than the sum of its proper divisors (1064903).

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

802816 is an frugal number, since it uses more digits than its factorization.

802816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42 (or 9 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The cubic root of 802816 is about 92.9405717370.

The spelling of 802816 in words is "eight hundred two thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 784 896 1024 1568 1792 2048 3136 3584 4096 6272 7168 8192 12544 14336 16384 25088 28672 50176 57344 100352 114688 200704 401408 802816