Search a number
-
+
46944 = 2532163
BaseRepresentation
bin1011011101100000
32101101200
423131200
53000234
61001200
7253602
oct133540
971350
1046944
11322a7
1223200
13184a1
1413172
15dd99
hexb760

46944 has 36 divisors (see below), whose sum is σ = 134316. Its totient is φ = 15552.

The previous prime is 46933. The next prime is 46957. The reversal of 46944 is 44964.

46944 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 a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 15 and base 16.

It is a zygodrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 46944.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 207 + ... + 369.

It is an arithmetic number, because the mean of its divisors is an integer number (3731).

246944 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 46944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67158).

46944 is an abundant number, since it is smaller than the sum of its proper divisors (87372).

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

46944 is a wasteful number, since it uses less digits than its factorization.

46944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 168 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 46944 is about 216.6656410232. The cubic root of 46944 is about 36.0739221788.

Adding to 46944 its sum of digits (27), we get a triangular number (46971 = T306).

It can be divided in two parts, 46 and 944, that added together give a triangular number (990 = T44).

The spelling of 46944 in words is "forty-six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 163 288 326 489 652 978 1304 1467 1956 2608 2934 3912 5216 5868 7824 11736 15648 23472 46944