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896256 = 2832389
BaseRepresentation
bin11011010110100000000
31200112102200
43122310000
5212140011
631113200
710421664
oct3326400
91615380
10896256
11562409
12372800
13254c3a
141948a4
1512a856
hexdad00

896256 has 54 divisors (see below), whose sum is σ = 2590770. Its totient is φ = 297984.

The previous prime is 896201. The next prime is 896263. The reversal of 896256 is 652698.

It can be written as a sum of positive squares in only one way, i.e., 665856 + 230400 = 816^2 + 480^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 896256.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 896256.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2110 + ... + 2498.

2896256 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 896256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1295385).

896256 is an abundant number, since it is smaller than the sum of its proper divisors (1694514).

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

896256 is a wasteful number, since it uses less digits than its factorization.

896256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 394 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 896256 is about 946.7079803192. The cubic root of 896256 is about 96.4148711871.

The spelling of 896256 in words is "eight hundred ninety-six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 389 576 768 778 1152 1167 1556 2304 2334 3112 3501 4668 6224 7002 9336 12448 14004 18672 24896 28008 37344 49792 56016 74688 99584 112032 149376 224064 298752 448128 896256