Search a number
-
+
42093 = 331559
BaseRepresentation
bin1010010001101101
32010202000
422101231
52321333
6522513
7233502
oct122155
963660
1042093
1129697
1220439
131620c
14114a9
15c713
hexa46d

42093 has 8 divisors (see below), whose sum is σ = 62400. Its totient is φ = 28044.

The previous prime is 42089. The next prime is 42101. The reversal of 42093 is 39024.

42093 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42093 - 22 = 42089 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 42093.

It is not an unprimeable number, because it can be changed into a prime (42013) 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, 753 + ... + 806.

It is an arithmetic number, because the mean of its divisors is an integer number (7800).

242093 is an apocalyptic number.

It is an amenable number.

42093 is a deficient number, since it is larger than the sum of its proper divisors (20307).

42093 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 12 representation: 42093 = (20439)12.

42093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1568 (or 1562 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 42093 is about 205.1657866215. The cubic root of 42093 is about 34.7859039224.

It can be divided in two parts, 420 and 93, that multiplied together give a triangular number (39060 = T279).

The spelling of 42093 in words is "forty-two thousand, ninety-three".

Divisors: 1 3 9 27 1559 4677 14031 42093