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42053 = 113823
BaseRepresentation
bin1010010001000101
32010200112
422101011
52321203
6522405
7233414
oct122105
963615
1042053
1129660
1220405
13161ab
141147b
15c6d8
hexa445

42053 has 4 divisors (see below), whose sum is σ = 45888. Its totient is φ = 38220.

The previous prime is 42043. The next prime is 42061. The reversal of 42053 is 35024.

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 42053 - 212 = 37957 is a prime.

It is a Duffinian number.

It is a plaindrome in base 14.

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 42053.

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 3 ways as a sum of consecutive naturals, for example, 1901 + ... + 1922.

It is an arithmetic number, because the mean of its divisors is an integer number (11472).

242053 is an apocalyptic number.

It is an amenable number.

42053 is a deficient number, since it is larger than the sum of its proper divisors (3835).

42053 is a wasteful number, since it uses less digits than its factorization.

42053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3834.

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 42053 is about 205.0682813114. The cubic root of 42053 is about 34.7748816848.

Adding to 42053 its reverse (35024), we get a palindrome (77077).

The spelling of 42053 in words is "forty-two thousand, fifty-three".

Divisors: 1 11 3823 42053