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542832 = 24343263
BaseRepresentation
bin10000100100001110000
31000120121220
42010201300
5114332312
615345040
74420413
oct2044160
91016556
10542832
11340924
12222180
13160104
14101b7a
15aac8c
hex84870

542832 has 40 divisors (see below), whose sum is σ = 1440384. Its totient is φ = 176064.

The previous prime is 542831. The next prime is 542837. The reversal of 542832 is 238245.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a d-powerful number, because it can be written as 55 + 43 + 8 + 2 + 312 + 213 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542831) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1933 + ... + 2195.

2542832 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 542832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720192).

542832 is an abundant number, since it is smaller than the sum of its proper divisors (897552).

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

542832 is a wasteful number, since it uses less digits than its factorization.

542832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 311 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 542832 is about 736.7713349473. The cubic root of 542832 is about 81.5746364847.

It can be divided in two parts, 54283 and 2, that added together give a triangular number (54285 = T329).

The spelling of 542832 in words is "five hundred forty-two thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 129 172 258 263 344 516 526 688 789 1032 1052 1578 2064 2104 3156 4208 6312 11309 12624 22618 33927 45236 67854 90472 135708 180944 271416 542832