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48884 = 22112101
BaseRepresentation
bin1011111011110100
32111001112
423323310
53031014
61014152
7262343
oct137364
974045
1048884
1133800
1224358
1319334
1413b5a
15e73e
hexbef4

48884 has 18 divisors (see below), whose sum is σ = 94962. Its totient is φ = 22000.

The previous prime is 48883. The next prime is 48889.

48884 is nontrivially palindromic in base 3 and base 10.

It can be written as a sum of positive squares in only one way, i.e., 48400 + 484 = 220^2 + 22^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 48884.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 434 + ... + 534.

248884 is an apocalyptic number.

48884 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

48884 is a deficient number, since it is larger than the sum of its proper divisors (46078).

48884 is a wasteful number, since it uses less digits than its factorization.

48884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 114 counting only the distinct ones).

The product of its digits is 8192, while the sum is 32.

The square root of 48884 is about 221.0972636647. The cubic root of 48884 is about 36.5641581297.

It can be divided in two parts, 4 and 8884, that added together give a palindrome (8888).

The spelling of 48884 in words is "forty-eight thousand, eight hundred eighty-four".

Divisors: 1 2 4 11 22 44 101 121 202 242 404 484 1111 2222 4444 12221 24442 48884