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BaseRepresentation
bin11110001000
32122102
4132020
530203
612532
75423
oct3610
92572
101928
1114a3
121148
13b54
149ba
15888
hex788

1928 has 8 divisors (see below), whose sum is σ = 3630. Its totient is φ = 960.

The previous prime is 1913. The next prime is 1931. The reversal of 1928 is 8291.

1928 is nontrivially palindromic in base 5 and base 15.

It can be written as a sum of positive squares in only one way, i.e., 1444 + 484 = 38^2 + 22^2 .

It is a tau number, because it is divible by the number of its divisors (8).

1928 is a nontrivial repdigit in base 15.

It is a plaindrome in base 12, base 15 and base 16.

It is a nialpdrome in base 13 and base 15.

It is a zygodrome in base 15.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 113 + ... + 128.

It is an amenable number.

1928 is a deficient number, since it is larger than the sum of its proper divisors (1702).

1928 is a wasteful number, since it uses less digits than its factorization.

1928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 243 counting only the distinct ones).

The product of its digits is 144, while the sum is 20.

The square root of 1928 is about 43.9089968002. The cubic root of 1928 is about 12.4461685064.

It can be divided in two parts, 1 and 928, that added together give a palindrome (929).

The spelling of 1928 in words is "one thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 241 482 964 1928