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46256 = 247259
BaseRepresentation
bin1011010010110000
32100110012
423102300
52440011
6554052
7251600
oct132260
970405
1046256
1131831
1222928
1318092
1412c00
15da8b
hexb4b0

46256 has 30 divisors (see below), whose sum is σ = 106020. Its totient is φ = 19488.

The previous prime is 46237. The next prime is 46261. The reversal of 46256 is 65264.

46256 is nontrivially palindromic in base 3.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable 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 in 5 ways as a sum of consecutive naturals, for example, 755 + ... + 813.

It is an arithmetic number, because the mean of its divisors is an integer number (3534).

46256 is a Friedman number, since it can be written as 6^6-(5*4)^2, using all its digits and the basic arithmetic operations.

246256 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 46256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53010).

46256 is an abundant number, since it is smaller than the sum of its proper divisors (59764).

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

46256 is a wasteful number, since it uses less digits than its factorization.

46256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 68 counting only the distinct ones).

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

The square root of 46256 is about 215.0720809403. The cubic root of 46256 is about 35.8968239212.

The spelling of 46256 in words is "forty-six thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 59 98 112 118 196 236 392 413 472 784 826 944 1652 2891 3304 5782 6608 11564 23128 46256