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6800256 = 27325903
BaseRepresentation
bin11001111100001110000000
3110210111012100
4121330032000
53220102011
6401430400
7111541551
oct31741600
913714170
106800256
113925151
12233b400
131541328
14c90328
158e4d56
hex67c380

6800256 has 48 divisors (see below), whose sum is σ = 19571760. Its totient is φ = 2266368.

The previous prime is 6800251. The next prime is 6800257. The reversal of 6800256 is 6520086.

It is a tau number, because it is divible by the number of its divisors (48).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6800251) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1800 + ... + 4103.

It is an arithmetic number, because the mean of its divisors is an integer number (407745).

Almost surely, 26800256 is an apocalyptic number.

It is an amenable number.

6800256 is an abundant number, since it is smaller than the sum of its proper divisors (12771504).

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

6800256 is a wasteful number, since it uses less digits than its factorization.

6800256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5923 (or 5908 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 6800256 is about 2607.7300473784. The cubic root of 6800256 is about 189.4560248649.

It can be divided in two parts, 6800 and 256, that added together give a square (7056 = 842).

The spelling of 6800256 in words is "six million, eight hundred thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 5903 11806 17709 23612 35418 47224 53127 70836 94448 106254 141672 188896 212508 283344 377792 425016 566688 755584 850032 1133376 1700064 2266752 3400128 6800256