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542322 = 23311283
BaseRepresentation
bin10000100011001110010
31000112221000
42010121302
5114323242
615342430
74416054
oct2043162
91015830
10542322
11340500
12221a16
1315cb01
141018d4
15aaa4c
hex84672

542322 has 48 divisors (see below), whose sum is σ = 1340640. Its totient is φ = 162360.

The previous prime is 542299. The next prime is 542323. The reversal of 542322 is 223245.

It is a super-2 number, since 2×5423222 = 588226303368, which contains 22 as substring.

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 d-powerful number, because it can be written as 53 + 4 + 312 + 29 + 211 + 213 .

It is a junction number, because it is equal to n+sod(n) for n = 542295 and 542304.

It is not an unprimeable number, because it can be changed into a prime (542323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6493 + ... + 6575.

It is an arithmetic number, because the mean of its divisors is an integer number (27930).

2542322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670320).

542322 is an abundant number, since it is smaller than the sum of its proper divisors (798318).

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

542322 is a wasteful number, since it uses less digits than its factorization.

542322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 99 counting only the distinct ones).

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

The square root of 542322 is about 736.4251489459. The cubic root of 542322 is about 81.5490815553.

Adding to 542322 its reverse (223245), we get a palindrome (765567).

It can be divided in two parts, 5423 and 22, that added together give a palindrome (5445).

The spelling of 542322 in words is "five hundred forty-two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 83 99 121 166 198 242 249 297 363 498 594 726 747 913 1089 1494 1826 2178 2241 2739 3267 4482 5478 6534 8217 10043 16434 20086 24651 30129 49302 60258 90387 180774 271161 542322