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422532 = 223211297
BaseRepresentation
bin1100111001010000100
3210110121100
41213022010
5102010112
613020100
73406605
oct1471204
9713540
10422532
11269500
12184630
1311a426
14addac
15852dc
hex67284

422532 has 54 divisors (see below), whose sum is σ = 1186094. Its totient is φ = 126720.

The previous prime is 422479. The next prime is 422537. The reversal of 422532 is 235224.

It can be written as a sum of positive squares in only one way, i.e., 352836 + 69696 = 594^2 + 264^2 .

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

It is not an unprimeable number, because it can be changed into a prime (422537) by changing a digit.

422532 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4308 + ... + 4404.

2422532 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593047).

422532 is an abundant number, since it is smaller than the sum of its proper divisors (763562).

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

422532 is a wasteful number, since it uses less digits than its factorization.

422532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 113 counting only the distinct ones).

The product of its digits is 480, while the sum is 18.

The square root of 422532 is about 650.0246149185. The cubic root of 422532 is about 75.0389131401.

Adding to 422532 its reverse (235224), we get a palindrome (657756).

The spelling of 422532 in words is "four hundred twenty-two thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 97 99 121 132 194 198 242 291 363 388 396 484 582 726 873 1067 1089 1164 1452 1746 2134 2178 3201 3492 4268 4356 6402 9603 11737 12804 19206 23474 35211 38412 46948 70422 105633 140844 211266 422532