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52182 = 23213223
BaseRepresentation
bin1100101111010110
32122120200
430233112
53132212
61041330
7305064
oct145726
978520
1052182
1136229
1226246
131a9a0
1415034
15106dc
hexcbd6

52182 has 24 divisors (see below), whose sum is σ = 122304. Its totient is φ = 15984.

The previous prime is 52181. The next prime is 52183. The reversal of 52182 is 28125.

It is an interprime number because it is at equal distance from previous prime (52181) and next prime (52183).

It is a super-2 number, since 2×521822 = 5445922248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52181) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 123 + ... + 345.

It is an arithmetic number, because the mean of its divisors is an integer number (5096).

252182 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52182, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61152).

52182 is an abundant number, since it is smaller than the sum of its proper divisors (70122).

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

52182 is a wasteful number, since it uses less digits than its factorization.

52182 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 241 counting only the distinct ones).

The product of its digits is 160, while the sum is 18.

The square root of 52182 is about 228.4337978496. The cubic root of 52182 is about 37.3686068266.

It can be divided in two parts, 5 and 2182, that added together give a 7-th power (2187 = 37).

The spelling of 52182 in words is "fifty-two thousand, one hundred eighty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 223 234 446 669 1338 2007 2899 4014 5798 8697 17394 26091 52182