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48944 = 2471923
BaseRepresentation
bin1011111100110000
32111010202
423330300
53031234
61014332
7262460
oct137460
974122
1048944
1133855
12243a8
131937c
1413ba0
15e77e
hexbf30

48944 has 40 divisors (see below), whose sum is σ = 119040. Its totient is φ = 19008.

The previous prime is 48907. The next prime is 48947. The reversal of 48944 is 44984.

It is a happy number.

48944 is nontrivially palindromic in base 15.

It is not an unprimeable number, because it can be changed into a prime (48947) 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, 2117 + ... + 2139.

It is an arithmetic number, because the mean of its divisors is an integer number (2976).

248944 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 48944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59520).

48944 is an abundant number, since it is smaller than the sum of its proper divisors (70096).

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

48944 is a wasteful number, since it uses less digits than its factorization.

48944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 51 counting only the distinct ones).

The product of its digits is 4608, while the sum is 29.

The square root of 48944 is about 221.2329089444. The cubic root of 48944 is about 36.5791115741.

The spelling of 48944 in words is "forty-eight thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 19 23 28 38 46 56 76 92 112 133 152 161 184 266 304 322 368 437 532 644 874 1064 1288 1748 2128 2576 3059 3496 6118 6992 12236 24472 48944