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52104 = 23313167
BaseRepresentation
bin1100101110001000
32122110210
430232020
53131404
61041120
7304623
oct145610
978423
1052104
1136168
12261a0
131a940
1414dba
1510689
hexcb88

52104 has 32 divisors (see below), whose sum is σ = 141120. Its totient is φ = 15936.

The previous prime is 52103. The next prime is 52121. The reversal of 52104 is 40125.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 52104.

It is not an unprimeable number, because it can be changed into a prime (52103) 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 7 ways as a sum of consecutive naturals, for example, 229 + ... + 395.

It is an arithmetic number, because the mean of its divisors is an integer number (4410).

252104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70560).

52104 is an abundant number, since it is smaller than the sum of its proper divisors (89016).

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

52104 is a wasteful number, since it uses less digits than its factorization.

52104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 52104 is about 228.2630062012. The cubic root of 52104 is about 37.3499784054.

Adding to 52104 its reverse (40125), we get a palindrome (92229).

The spelling of 52104 in words is "fifty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 167 312 334 501 668 1002 1336 2004 2171 4008 4342 6513 8684 13026 17368 26052 52104