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46641 = 372221
BaseRepresentation
bin1011011000110001
32100222110
423120301
52443031
6555533
7252660
oct133061
970873
1046641
1132051
1222ba9
13182ca
1412dd7
15dc46
hexb631

46641 has 8 divisors (see below), whose sum is σ = 71104. Its totient is φ = 26640.

The previous prime is 46639. The next prime is 46643. The reversal of 46641 is 14664.

46641 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (46639) and next prime (46643).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 46641 - 21 = 46639 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 2221 = 46641 / (4 + 6 + 6 + 4 + 1).

It is a Duffinian number.

It is a Curzon number.

46641 is a lucky number.

It is a nialpdrome in base 6 and base 16.

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (46643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1090 + ... + 1131.

It is an arithmetic number, because the mean of its divisors is an integer number (8888).

46641 is a Friedman number, since it can be written as 6^6-4*4+1, using all its digits and the basic arithmetic operations.

246641 is an apocalyptic number.

It is an amenable number.

46641 is a deficient number, since it is larger than the sum of its proper divisors (24463).

46641 is a wasteful number, since it uses less digits than its factorization.

46641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2231.

The product of its digits is 576, while the sum is 21.

The square root of 46641 is about 215.9652749865. The cubic root of 46641 is about 35.9961415618.

The spelling of 46641 in words is "forty-six thousand, six hundred forty-one".

Divisors: 1 3 7 21 2221 6663 15547 46641