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52122 = 2371773
BaseRepresentation
bin1100101110011010
32122111110
430232122
53131442
61041150
7304650
oct145632
978443
1052122
1136184
12261b6
131a955
1414dd0
151069c
hexcb9a

52122 has 32 divisors (see below), whose sum is σ = 127872. Its totient is φ = 13824.

The previous prime is 52121. The next prime is 52127. The reversal of 52122 is 22125.

It is a junction number, because it is equal to n+sod(n) for n = 52098 and 52107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 678 + ... + 750.

It is an arithmetic number, because the mean of its divisors is an integer number (3996).

252122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63936).

52122 is an abundant number, since it is smaller than the sum of its proper divisors (75750).

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

52122 is a wasteful number, since it uses less digits than its factorization.

52122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102.

The product of its digits is 40, while the sum is 12.

The square root of 52122 is about 228.3024309989. The cubic root of 52122 is about 37.3542789210.

Adding to 52122 its reverse (22125), we get a palindrome (74247).

The spelling of 52122 in words is "fifty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 73 102 119 146 219 238 357 438 511 714 1022 1241 1533 2482 3066 3723 7446 8687 17374 26061 52122