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42507 = 324723
BaseRepresentation
bin1010011000001011
32011022100
422120023
52330012
6524443
7234633
oct123013
964270
1042507
1129a33
1220723
131646a
14116c3
15c8dc
hexa60b

42507 has 6 divisors (see below), whose sum is σ = 61412. Its totient is φ = 28332.

The previous prime is 42499. The next prime is 42509. The reversal of 42507 is 70524.

It is a happy number.

It is not a de Polignac number, because 42507 - 23 = 42499 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 42507.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 42507.

It is not an unprimeable number, because it can be changed into a prime (42509) 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 5 ways as a sum of consecutive naturals, for example, 2353 + ... + 2370.

242507 is an apocalyptic number.

42507 is a deficient number, since it is larger than the sum of its proper divisors (18905).

42507 is a wasteful number, since it uses less digits than its factorization.

42507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4729 (or 4726 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 42507 is about 206.1722580756. The cubic root of 42507 is about 34.8995760793.

The spelling of 42507 in words is "forty-two thousand, five hundred seven".

Divisors: 1 3 9 4723 14169 42507