51204 has 24 divisors (see below), whose sum is σ = 127008. Its totient is φ = 16000.
The previous prime is 51203. The next prime is 51217. The reversal of 51204 is 40215.
51204 = T37 + T38 + ... + T70.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a self number, because there is not a number n which added to its sum of digits gives 51204.
It is not an unprimeable number, because it can be changed into a prime (51203) 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, 79 + ... + 329.
It is an arithmetic number, because the mean of its divisors is an integer number (5292).
251204 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 51204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63504).
51204 is an abundant number, since it is smaller than the sum of its proper divisors (75804).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
51204 is a wasteful number, since it uses less digits than its factorization.
51204 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 275 (or 273 counting only the distinct ones).
The product of its (nonzero) digits is 40, while the sum is 12.
The square root of 51204 is about 226.2830086418. The cubic root of 51204 is about 37.1336776414.
Adding to 51204 its reverse (40215), we get a palindrome (91419).
It can be divided in two parts, 51 and 204, that multiplied together give a square (10404 = 1022).
The spelling of 51204 in words is "fifty-one thousand, two hundred four".
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