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1542 = 23257

1542 has 8 divisors (see below), whose sum is σ = 3096. Its totient is φ = 512.

The previous prime is 1531. The next prime is 1543. The reversal of 1542 is 2451.

1542 is nontrivially palindromic in base 16.


1542 is an admirable number.

It is a d-powerful number, because it can be written as 1 + 45 + 5 + 29 .

1542 is an undulating number in base 16.

It is a plaindrome in base 15.

It is a nialpdrome in base 7 and base 12.

It is a congruent number.


It is not an unprimeable number, because it can be changed into a prime (1543) by changing a digit.


In principle, a polygon with 1542 sides can be constructed with ruler and compass.


It is an arithmetic number, because the mean of its divisors is an integer number (387).



It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548).

1542 is a wasteful number, since it uses less digits than its factorization.

1542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262.


The square root of 1542 is about 39.2683078321. The cubic root of 1542 is about 11.5530004761.

Adding to 1542 its reverse (2451), we get a palindrome (3993).

Subtracting 1542 from its reverse (2451), we obtain a palindrome (909).

It can be divided in two parts, 15 and 42, that multiplied together give a triangular number (630 = T35).

The spelling of 1542 in words is "one thousand, five hundred forty-two".

Divisors: 1 2 3 6 257 514 771 1542