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542838820 = 225291078747
BaseRepresentation
bin100000010110110…
…001000000100100
31101211110001212111
4200112301000210
52102431320240
6125510530404
716311024316
oct4026610044
91354401774
10542838820
11259466927
12131966a04
1388603b04
14521477b6
15329cb1ea
hex205b1024

542838820 has 48 divisors (see below), whose sum is σ = 1190427840. Its totient is φ = 207665024.

The previous prime is 542838787. The next prime is 542838887. The reversal of 542838820 is 28838245.

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, 57687 + ... + 66433.

It is an arithmetic number, because the mean of its divisors is an integer number (24800580).

Almost surely, 2542838820 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 542838820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595213920).

542838820 is an abundant number, since it is smaller than the sum of its proper divisors (647589020).

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

542838820 is a wasteful number, since it uses less digits than its factorization.

542838820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8892 (or 8890 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 40.

The square root of 542838820 is about 23298.9016908523. The cubic root of 542838820 is about 815.7497811076.

The spelling of 542838820 in words is "five hundred forty-two million, eight hundred thirty-eight thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 107 116 145 214 290 428 535 580 1070 2140 3103 6206 8747 12412 15515 17494 31030 34988 43735 62060 87470 174940 253663 507326 935929 1014652 1268315 1871858 2536630 3743716 4679645 5073260 9359290 18718580 27141941 54283882 108567764 135709705 271419410 542838820