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1938 = 231719
BaseRepresentation
bin11110010010
32122210
4132102
530223
612550
75436
oct3622
92583
101938
111502
121156
13b61
149c6
15893
hex792

1938 has 16 divisors (see below), whose sum is σ = 4320. Its totient is φ = 576.

The previous prime is 1933. The next prime is 1949. The reversal of 1938 is 8391.

It can be divided in two parts, 1 and 938, that added together give a palindrome (939).

It is a Curzon number.

It is a plaindrome in base 12.

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (1931) 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, 93 + ... + 111.

It is an arithmetic number, because the mean of its divisors is an integer number (270).

1938 is an abundant number, since it is smaller than the sum of its proper divisors (2382).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2160).

1938 is a wasteful number, since it uses less digits than its factorization.

1938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41.

The product of its digits is 216, while the sum is 21.

The square root of 1938 is about 44.0227214061. The cubic root of 1938 is about 12.4676496821.

The spelling of 1938 in words is "one thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 17 19 34 38 51 57 102 114 323 646 969 1938