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46046 = 27111323
BaseRepresentation
bin1011001111011110
32100011102
423033132
52433141
6553102
7251150
oct131736
970142
1046046
1131660
1222792
1317c60
1412ad0
15d99b
hexb3de

46046 has 32 divisors (see below), whose sum is σ = 96768. Its totient is φ = 15840.

The previous prime is 46027. The next prime is 46049. The reversal of 46046 is 64064.

It is a Smith number, since the sum of its digits (20) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46049) by changing a digit.

46046 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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1991 + ... + 2013.

It is an arithmetic number, because the mean of its divisors is an integer number (3024).

246046 is an apocalyptic number.

46046 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

46046 is an abundant number, since it is smaller than the sum of its proper divisors (50722).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48384).

46046 is a wasteful number, since it uses less digits than its factorization.

46046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56.

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 46046 is about 214.5833171521. The cubic root of 46046 is about 35.8424182241.

The spelling of 46046 in words is "forty-six thousand, forty-six", and thus it is an eban number.

Divisors: 1 2 7 11 13 14 22 23 26 46 77 91 143 154 161 182 253 286 299 322 506 598 1001 1771 2002 2093 3289 3542 4186 6578 23023 46046