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64256 = 28251
BaseRepresentation
bin1111101100000000
310021010212
433230000
54024011
61213252
7355223
oct175400
9107125
1064256
1144305
1231228
132332a
14195ba
151408b
hexfb00

64256 has 18 divisors (see below), whose sum is σ = 128772. Its totient is φ = 32000.

The previous prime is 64237. The next prime is 64271. The reversal of 64256 is 65246.

It is a nialpdrome in base 16.

It is an unprimeable number.

64256 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 131 + ... + 381.

It is an arithmetic number, because the mean of its divisors is an integer number (7154).

264256 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 64256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64386).

64256 is an abundant number, since it is smaller than the sum of its proper divisors (64516).

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

64256 is an equidigital number, since it uses as much as digits as its factorization.

64256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 253 counting only the distinct ones).

The product of its digits is 1440, while the sum is 23.

The square root of 64256 is about 253.4876722841. The cubic root of 64256 is about 40.0532623798.

Subtracting 64256 from its reverse (65246), we obtain a triangular number (990 = T44).

It can be divided in two parts, 64 and 256, that multiplied together give a 14-th power (16384 = 214).

The spelling of 64256 in words is "sixty-four thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 128 251 256 502 1004 2008 4016 8032 16064 32128 64256