Search a number
-
+
812808 = 23335371
BaseRepresentation
bin11000110011100001000
31112021222000
43012130020
5202002213
625231000
76623463
oct3063410
91467860
10812808
11505747
12332460
13225c69
141722da
15110c73
hexc6708

812808 has 64 divisors (see below), whose sum is σ = 2332800. Its totient is φ = 262080.

The previous prime is 812807. The next prime is 812849. The reversal of 812808 is 808218.

812808 = T67 + T68 + ... + T172.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (812807) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11413 + ... + 11483.

It is an arithmetic number, because the mean of its divisors is an integer number (36450).

2812808 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 812808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1166400).

812808 is an abundant number, since it is smaller than the sum of its proper divisors (1519992).

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

812808 is a wasteful number, since it uses less digits than its factorization.

812808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 812808 is about 901.5586503384. The cubic root of 812808 is about 93.3245683379.

The spelling of 812808 in words is "eight hundred twelve thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 53 54 71 72 106 108 142 159 212 213 216 284 318 424 426 477 568 636 639 852 954 1272 1278 1431 1704 1908 1917 2556 2862 3763 3816 3834 5112 5724 7526 7668 11289 11448 15052 15336 22578 30104 33867 45156 67734 90312 101601 135468 203202 270936 406404 812808