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1542 = 23257
BaseRepresentation
bin11000000110
32010010
4120012
522132
611050
74332
oct3006
92103
101542
111182
12a86
13918
147c2
156cc
hex606

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.

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).

1542 is nontrivially palindromic in base 16.

It is a sphenic number, since it is the product of 3 distinct primes.

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 an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 1542.

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

1542 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 123 + ... + 134.

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

1542 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

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 product of its digits is 40, while the sum is 12.

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

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

Divisors: 1 2 3 6 257 514 771 1542