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52722 = 23229101
BaseRepresentation
bin1100110111110010
32200022200
430313302
53141342
61044030
7306465
oct146762
980280
1052722
113667a
1226616
131acc7
14152dc
151094c
hexcdf2

52722 has 24 divisors (see below), whose sum is σ = 119340. Its totient is φ = 16800.

The previous prime is 52721. The next prime is 52727. The reversal of 52722 is 22725.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 47961 + 4761 = 219^2 + 69^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is a plaindrome in base 11.

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 52695 and 52704.

It is not an unprimeable number, because it can be changed into a prime (52721) 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, 472 + ... + 572.

252722 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52722, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59670).

52722 is an abundant number, since it is smaller than the sum of its proper divisors (66618).

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

52722 is a wasteful number, since it uses less digits than its factorization.

52722 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 135 counting only the distinct ones).

The product of its digits is 280, while the sum is 18.

The square root of 52722 is about 229.6127174178. The cubic root of 52722 is about 37.4970664372.

The spelling of 52722 in words is "fifty-two thousand, seven hundred twenty-two".

Divisors: 1 2 3 6 9 18 29 58 87 101 174 202 261 303 522 606 909 1818 2929 5858 8787 17574 26361 52722