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42153 = 314051
BaseRepresentation
bin1010010010101001
32010211020
422102221
52322103
6523053
7233616
oct122251
963736
1042153
1129741
1220489
1316257
141150d
15c753
hexa4a9

42153 has 4 divisors (see below), whose sum is σ = 56208. Its totient is φ = 28100.

The previous prime is 42139. The next prime is 42157. The reversal of 42153 is 35124.

42153 is nontrivially palindromic in base 9.

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 42153 - 26 = 42089 is a prime.

It is a D-number.

It is a Curzon number.

42153 is a lucky number.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (42157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7023 + ... + 7028.

It is an arithmetic number, because the mean of its divisors is an integer number (14052).

242153 is an apocalyptic number.

It is an amenable number.

42153 is a deficient number, since it is larger than the sum of its proper divisors (14055).

42153 is a wasteful number, since it uses less digits than its factorization.

42153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14054.

The product of its digits is 120, while the sum is 15.

The square root of 42153 is about 205.3119577618. The cubic root of 42153 is about 34.8024241937.

Adding to 42153 its reverse (35124), we get a palindrome (77277).

It can be divided in two parts, 421 and 53, that added together give a palindrome (474).

The spelling of 42153 in words is "forty-two thousand, one hundred fifty-three".

Divisors: 1 3 14051 42153