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4242 = 237101
BaseRepresentation
bin1000010010010
312211010
41002102
5113432
631350
715240
oct10222
95733
104242
113207
122556
131c14
141790
1513cc
hex1092

4242 has 16 divisors (see below), whose sum is σ = 9792. Its totient is φ = 1200.

The previous prime is 4241. The next prime is 4243. The reversal of 4242 is 2424.

Adding to 4242 its reverse (2424), we get a palindrome (6666).

It can be divided in two parts, 424 and 2, that multiplied together give a palindrome (848).

It is an interprime number because it is at equal distance from previous prime (4241) and next prime (4243).

It is a d-powerful number, because it can be written as 42 + 46 + 2 + 27 .

4242 is an undulating number in base 10.

It is a plaindrome in base 12 and base 15.

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 4242.

It is not an unprimeable number, because it can be changed into a prime (4241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9 + ... + 92.

It is an arithmetic number, because the mean of its divisors is an integer number (612).

24242 is an apocalyptic number.

4242 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

4242 is an abundant number, since it is smaller than the sum of its proper divisors (5550).

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 (4896).

4242 is a wasteful number, since it uses less digits than its factorization.

4242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113.

The product of its digits is 64, while the sum is 12.

The square root of 4242 is about 65.1306379517. The cubic root of 4242 is about 16.1878891346.

The spelling of 4242 in words is "four thousand, two hundred forty-two", and thus it is an iban number.

Divisors: 1 2 3 6 7 14 21 42 101 202 303 606 707 1414 2121 4242