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46016 = 26719
BaseRepresentation
bin1011001111000000
32100010022
423033000
52433031
6553012
7251105
oct131700
970108
1046016
1131633
1222768
1317c39
1412aac
15d97b
hexb3c0

46016 has 14 divisors (see below), whose sum is σ = 91440. Its totient is φ = 22976.

The previous prime is 45989. The next prime is 46021. The reversal of 46016 is 61064.

It is an Ulam number.

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 45985 and 46003.

It is a congruent number.

It is an unprimeable number.

46016 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, 296 + ... + 423.

246016 is an apocalyptic number.

It is an amenable number.

46016 is a deficient number, since it is larger than the sum of its proper divisors (45424).

46016 is an equidigital number, since it uses as much as digits as its factorization.

46016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 46016 is about 214.5134028447. The cubic root of 46016 is about 35.8346324870.

The spelling of 46016 in words is "forty-six thousand, sixteen".

Divisors: 1 2 4 8 16 32 64 719 1438 2876 5752 11504 23008 46016