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52400 = 2452131
BaseRepresentation
bin1100110010110000
32122212202
430302300
53134100
61042332
7305525
oct146260
978782
1052400
1136407
12263a8
131ab0a
141514c
15107d5
hexccb0

52400 has 30 divisors (see below), whose sum is σ = 126852. Its totient is φ = 20800.

The previous prime is 52391. The next prime is 52433. The reversal of 52400 is 425.

It is a nialpdrome in base 16.

It is an unprimeable number.

52400 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 5 ways as a sum of consecutive naturals, for example, 335 + ... + 465.

252400 is an apocalyptic number.

52400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63426).

52400 is an abundant number, since it is smaller than the sum of its proper divisors (74452).

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

52400 is a wasteful number, since it uses less digits than its factorization.

52400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 11.

The square root of 52400 is about 228.9104628452. The cubic root of 52400 is about 37.4205726273.

Adding to 52400 its reverse (425), we get a palindrome (52825).

The spelling of 52400 in words is "fifty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 131 200 262 400 524 655 1048 1310 2096 2620 3275 5240 6550 10480 13100 26200 52400