Search a number
BaseRepresentation
bin11111111010
32210122
4133322
531132
613242
75645
oct3772
92718
102042
111597
121222
13c11
14a5c
15912
hex7fa

2042 has 4 divisors (see below), whose sum is σ = 3066. Its totient is φ = 1020.

The previous prime is 2039. The next prime is 2053. The reversal of 2042 is 2402.

Adding to 2042 its reverse (2402), we get a palindrome (4444).

2042 is nontrivially palindromic in base 3.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 2402 = 21201.

It can be written as a sum of positive squares in only one way, i.e., 1681 + 361 = 41^2 + 19^2 .

It is a plaindrome in base 12.

It is a nialpdrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 2042.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 509 + ... + 512.

2042 is a deficient number, since it is larger than the sum of its proper divisors (1024).

2042 is a wasteful number, since it uses less digits than its factorization.

2042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023.

The product of its (nonzero) digits is 16, while the sum is 8.

The square root of 2042 is about 45.1884941108. The cubic root of 2042 is about 12.6867947144.

The spelling of 2042 in words is "two thousand, forty-two", and thus it is an eban number and an iban number.

Divisors: 1 2 1021 2042