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42204 = 2233517
BaseRepresentation
bin1010010011011100
32010220010
422103130
52322304
6523220
7234021
oct122334
963803
1042204
1129788
1220510
1316296
1411548
15c789
hexa4dc

42204 has 12 divisors (see below), whose sum is σ = 98504. Its totient is φ = 14064.

The previous prime is 42197. The next prime is 42209. The reversal of 42204 is 40224.

42204 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Harshad number since it is a multiple of its sum of digits (12), and also a Moran number because the ratio is a prime number: 3517 = 42204 / (4 + 2 + 2 + 0 + 4).

It is a plaindrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 42204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42209) 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, 1747 + ... + 1770.

242204 is an apocalyptic number.

It is an amenable number.

42204 is an abundant number, since it is smaller than the sum of its proper divisors (56300).

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 (49252).

42204 is a wasteful number, since it uses less digits than its factorization.

42204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3524 (or 3522 counting only the distinct ones).

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

The square root of 42204 is about 205.4361214587. The cubic root of 42204 is about 34.8164541030.

Adding to 42204 its reverse (40224), we get a palindrome (82428).

It can be divided in two parts, 4220 and 4, that added together give a palindrome (4224).

The spelling of 42204 in words is "forty-two thousand, two hundred four", and thus it is an iban number.

Divisors: 1 2 3 4 6 12 3517 7034 10551 14068 21102 42204