Search a number
-
+
42493 = 113863
BaseRepresentation
bin1010010111111101
32011021211
422113331
52324433
6524421
7234613
oct122775
964254
1042493
1129a20
1220711
1316459
14116b3
15c8cd
hexa5fd

42493 has 4 divisors (see below), whose sum is σ = 46368. Its totient is φ = 38620.

The previous prime is 42491. The next prime is 42499. The reversal of 42493 is 39424.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 42493 - 21 = 42491 is a prime.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an Ulam number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42491) 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 3 ways as a sum of consecutive naturals, for example, 1921 + ... + 1942.

It is an arithmetic number, because the mean of its divisors is an integer number (11592).

242493 is an apocalyptic number.

It is an amenable number.

42493 is a deficient number, since it is larger than the sum of its proper divisors (3875).

42493 is a wasteful number, since it uses less digits than its factorization.

42493 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3874.

The product of its digits is 864, while the sum is 22.

The square root of 42493 is about 206.1383030880. The cubic root of 42493 is about 34.8957441794.

It can be divided in two parts, 42 and 493, that multiplied together give a triangular number (20706 = T203).

The spelling of 42493 in words is "forty-two thousand, four hundred ninety-three".

Divisors: 1 11 3863 42493