Search a number
-
+
46848 = 28361
BaseRepresentation
bin1011011100000000
32101021010
423130000
52444343
61000520
7253404
oct133400
971233
1046848
113221a
1223140
1318429
1413104
15dd33
hexb700

46848 has 36 divisors (see below), whose sum is σ = 126728. Its totient is φ = 15360.

The previous prime is 46831. The next prime is 46853. The reversal of 46848 is 84864.

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 unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 738 + ... + 798.

246848 is an apocalyptic number.

46848 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63364).

46848 is an abundant number, since it is smaller than the sum of its proper divisors (79880).

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

46848 is an equidigital number, since it uses as much as digits as its factorization.

46848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 66 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 46848 is about 216.4439881355. The cubic root of 46848 is about 36.0493151301.

Subtracting from 46848 its product of digits (6144), we obtain a palindrome (40704).

The spelling of 46848 in words is "forty-six thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 128 183 192 244 256 366 384 488 732 768 976 1464 1952 2928 3904 5856 7808 11712 15616 23424 46848