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855296 = 2813257
BaseRepresentation
bin11010000110100000000
31121110020122
43100310000
5204332141
630155412
710161401
oct3206400
91543218
10855296
11534662
12352b68
1323c3c0
141839a8
1511d64b
hexd0d00

855296 has 36 divisors (see below), whose sum is σ = 1845732. Its totient is φ = 393216.

The previous prime is 855293. The next prime is 855307. The reversal of 855296 is 692558.

It can be written as a sum of positive squares in 2 ways, for example, as 541696 + 313600 = 736^2 + 560^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (855293) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3200 + ... + 3456.

2855296 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 855296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922866).

855296 is an abundant number, since it is smaller than the sum of its proper divisors (990436).

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

855296 is a wasteful number, since it uses less digits than its factorization.

855296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 272 counting only the distinct ones).

The product of its digits is 21600, while the sum is 35.

The square root of 855296 is about 924.8221450636. The cubic root of 855296 is about 94.9231511474.

The spelling of 855296 in words is "eight hundred fifty-five thousand, two hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 257 416 514 832 1028 1664 2056 3328 3341 4112 6682 8224 13364 16448 26728 32896 53456 65792 106912 213824 427648 855296