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52500 = 223547
BaseRepresentation
bin1100110100010100
32200000110
430310110
53140000
61043020
7306030
oct146424
980013
1052500
1136498
1226470
131ab86
14151c0
1510850
hexcd14

52500 has 60 divisors (see below), whose sum is σ = 174944. Its totient is φ = 12000.

The previous prime is 52489. The next prime is 52501. The reversal of 52500 is 525.

Multipling 52500 by its reverse (525), we get a square (27562500 = 52502).

52500 divided by its reverse (525) gives a square (100 = 102).

52500 = T35 + T36 + ... + T70.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52501) 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 19 ways as a sum of consecutive naturals, for example, 7497 + ... + 7503.

252500 is an apocalyptic number.

52500 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 52500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87472).

52500 is an abundant number, since it is smaller than the sum of its proper divisors (122444).

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

52500 is a wasteful number, since it uses less digits than its factorization.

52500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 12.

The square root of 52500 is about 229.1287847478. The cubic root of 52500 is about 37.4443619361. Note that the first 3 decimals are identical.

The spelling of 52500 in words is "fifty-two thousand, five hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 125 140 150 175 210 250 300 350 375 420 500 525 625 700 750 875 1050 1250 1500 1750 1875 2100 2500 2625 3500 3750 4375 5250 7500 8750 10500 13125 17500 26250 52500