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802836 = 223229769
BaseRepresentation
bin11000100000000010100
31111210021200
43010000110
5201142321
625112500
76552426
oct3040024
91453250
10802836
114a9201
12328730
13221568
1416c816
1510cd26
hexc4014

802836 has 36 divisors (see below), whose sum is σ = 2102100. Its totient is φ = 258048.

The previous prime is 802831. The next prime is 802873. The reversal of 802836 is 638208.

802836 = T444 + T445 + ... + T451.

It can be written as a sum of positive squares in 2 ways, for example, as 367236 + 435600 = 606^2 + 660^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×8028363 = 1552393337280159168, which contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (802831) by changing a digit.

802836 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 in 11 ways as a sum of consecutive naturals, for example, 660 + ... + 1428.

2802836 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 802836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1051050).

802836 is an abundant number, since it is smaller than the sum of its proper divisors (1299264).

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

802836 is a wasteful number, since it uses less digits than its factorization.

802836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 802836 is about 896.0111606448. The cubic root of 802836 is about 92.9413435187.

It can be divided in two parts, 80 and 2836, that added together give a square (2916 = 542).

The spelling of 802836 in words is "eight hundred two thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 769 1044 1538 2307 3076 4614 6921 9228 13842 22301 27684 44602 66903 89204 133806 200709 267612 401418 802836