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812896 = 25719191
BaseRepresentation
bin11000110011101100000
31112022002021
43012131200
5202003041
625231224
76623650
oct3063540
91468067
10812896
11505817
12332514
13226006
14172360
15110cd1
hexc6760

812896 has 48 divisors (see below), whose sum is σ = 1935360. Its totient is φ = 328320.

The previous prime is 812869. The next prime is 812921. The reversal of 812896 is 698218.

It is a congruent number.

It is an unprimeable number.

812896 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4161 + ... + 4351.

It is an arithmetic number, because the mean of its divisors is an integer number (40320).

2812896 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 812896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967680).

812896 is an abundant number, since it is smaller than the sum of its proper divisors (1122464).

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

812896 is a wasteful number, since it uses less digits than its factorization.

812896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 219 counting only the distinct ones).

The product of its digits is 6912, while the sum is 34.

The square root of 812896 is about 901.6074533853. The cubic root of 812896 is about 93.3279361958.

The spelling of 812896 in words is "eight hundred twelve thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 112 133 152 191 224 266 304 382 532 608 764 1064 1337 1528 2128 2674 3056 3629 4256 5348 6112 7258 10696 14516 21392 25403 29032 42784 50806 58064 101612 116128 203224 406448 812896