Search a number
-
+
542052 = 22347239
BaseRepresentation
bin10000100010101100100
31000112120000
42010111210
5114321202
615341300
74415220
oct2042544
91015500
10542052
11340285
12221830
1315c954
14101780
15aa91c
hex84564

542052 has 60 divisors (see below), whose sum is σ = 1626240. Its totient is φ = 154224.

The previous prime is 542027. The next prime is 542053. The reversal of 542052 is 250245.

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (542053) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 2149 + ... + 2387.

It is an arithmetic number, because the mean of its divisors is an integer number (27104).

2542052 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 542052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813120).

542052 is an abundant number, since it is smaller than the sum of its proper divisors (1084188).

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

542052 is a wasteful number, since it uses less digits than its factorization.

542052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 542052 is about 736.2418081038. The cubic root of 542052 is about 81.5355459884.

Adding to 542052 its reverse (250245), we get a palindrome (792297).

The spelling of 542052 in words is "five hundred forty-two thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 239 252 324 378 478 567 717 756 956 1134 1434 1673 2151 2268 2868 3346 4302 5019 6453 6692 8604 10038 12906 15057 19359 20076 25812 30114 38718 45171 60228 77436 90342 135513 180684 271026 542052