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52002 = 235107
BaseRepresentation
bin1100101100100010
32122100000
430230202
53131002
61040430
7304416
oct145442
978300
1052002
1136085
1226116
131a892
1414d46
151061c
hexcb22

52002 has 24 divisors (see below), whose sum is σ = 117936. Its totient is φ = 17172.

The previous prime is 51991. The next prime is 52009. The reversal of 52002 is 20025.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 52002.

It is not an unprimeable number, because it can be changed into a prime (52009) by changing a digit.

52002 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 11 ways as a sum of consecutive naturals, for example, 433 + ... + 539.

It is an arithmetic number, because the mean of its divisors is an integer number (4914).

252002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58968).

52002 is an abundant number, since it is smaller than the sum of its proper divisors (65934).

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

52002 is a wasteful number, since it uses less digits than its factorization.

52002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 9.

The square root of 52002 is about 228.0394702678. The cubic root of 52002 is about 37.3255900891.

Adding to 52002 its reverse (20025), we get a palindrome (72027).

The spelling of 52002 in words is "fifty-two thousand, two", and thus it is an eban number.

Divisors: 1 2 3 6 9 18 27 54 81 107 162 214 243 321 486 642 963 1926 2889 5778 8667 17334 26001 52002