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542646 = 23313773
BaseRepresentation
bin10000100011110110110
31000120101000
42010132312
5114331041
615344130
74420026
oct2043666
91016330
10542646
11340775
12222046
1315ccc0
14101a86
15aabb6
hex847b6

542646 has 32 divisors (see below), whose sum is σ = 1300320. Its totient is φ = 166752.

The previous prime is 542603. The next prime is 542683. The reversal of 542646 is 646245.

It is a happy number.

542646 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 316 + ... + 1088.

It is an arithmetic number, because the mean of its divisors is an integer number (40635).

2542646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650160).

542646 is an abundant number, since it is smaller than the sum of its proper divisors (757674).

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

542646 is a wasteful number, since it uses less digits than its factorization.

542646 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 791 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 542646 is about 736.6450977235. The cubic root of 542646 is about 81.5653183066.

It can be divided in two parts, 54 and 2646, that multiplied together give a square (142884 = 3782).

The spelling of 542646 in words is "five hundred forty-two thousand, six hundred forty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 702 773 1546 2319 4638 6957 10049 13914 20098 20871 30147 41742 60294 90441 180882 271323 542646