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812944 = 241131149
BaseRepresentation
bin11000110011110010000
31112022011001
43012132100
5202003234
625231344
76624046
oct3063620
91468131
10812944
11505860
12332554
13226042
14172396
15110d14
hexc6790

812944 has 40 divisors (see below), whose sum is σ = 1785600. Its totient is φ = 355200.

The previous prime is 812939. The next prime is 812963. The reversal of 812944 is 449218.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5382 + ... + 5530.

It is an arithmetic number, because the mean of its divisors is an integer number (44640).

2812944 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 812944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892800).

812944 is an abundant number, since it is smaller than the sum of its proper divisors (972656).

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

812944 is a wasteful number, since it uses less digits than its factorization.

812944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 193 counting only the distinct ones).

The product of its digits is 2304, while the sum is 28.

The square root of 812944 is about 901.6340721157. The cubic root of 812944 is about 93.3297731068.

It can be divided in two parts, 81 and 2944, that added together give a square (3025 = 552).

The spelling of 812944 in words is "eight hundred twelve thousand, nine hundred forty-four".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 124 149 176 248 298 341 496 596 682 1192 1364 1639 2384 2728 3278 4619 5456 6556 9238 13112 18476 26224 36952 50809 73904 101618 203236 406472 812944