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542232 = 233217443
BaseRepresentation
bin10000100011000011000
31000112210200
42010120120
5114322412
615342200
74415565
oct2043030
91015720
10542232
11340429
12221960
1315ca62
1410186c
15aa9dc
hex84618

542232 has 48 divisors (see below), whose sum is σ = 1558440. Its totient is φ = 169728.

The previous prime is 542219. The next prime is 542237. The reversal of 542232 is 232245.

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 55 + 43 + 2 + 213 + 38 + 219 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542237) 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, 1003 + ... + 1445.

2542232 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 542232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779220).

542232 is an abundant number, since it is smaller than the sum of its proper divisors (1016208).

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

542232 is a wasteful number, since it uses less digits than its factorization.

542232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 465 counting only the distinct ones).

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

The square root of 542232 is about 736.3640404039. The cubic root of 542232 is about 81.5445701989.

Adding to 542232 its reverse (232245), we get a palindrome (774477).

The spelling of 542232 in words is "five hundred forty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 443 612 886 1224 1329 1772 2658 3544 3987 5316 7531 7974 10632 15062 15948 22593 30124 31896 45186 60248 67779 90372 135558 180744 271116 542232