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542688 = 2535653
BaseRepresentation
bin10000100011111100000
31000120102120
42010133200
5114331223
615344240
74420116
oct2043740
91016376
10542688
11340803
12222080
13160023
14101ab6
15aabe3
hex847e0

542688 has 24 divisors (see below), whose sum is σ = 1424808. Its totient is φ = 180864.

The previous prime is 542687. The next prime is 542693. The reversal of 542688 is 886245.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 542688.

It is not an unprimeable number, because it can be changed into a prime (542683) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2731 + ... + 2922.

It is an arithmetic number, because the mean of its divisors is an integer number (59367).

2542688 is an apocalyptic number.

It is an amenable number.

542688 is an abundant number, since it is smaller than the sum of its proper divisors (882120).

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

542688 is a wasteful number, since it uses less digits than its factorization.

542688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5666 (or 5658 counting only the distinct ones).

The product of its digits is 15360, while the sum is 33.

The square root of 542688 is about 736.6736047939. The cubic root of 542688 is about 81.5674225975.

The spelling of 542688 in words is "five hundred forty-two thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 5653 11306 16959 22612 33918 45224 67836 90448 135672 180896 271344 542688