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542449728 = 2632941753
BaseRepresentation
bin100000010101010…
…010000001000000
31101210201022010200
4200111102001000
52102331342403
6125454325200
716304514042
oct4025220100
91353638120
10542449728
11259220567
121317b9800
13884c8992
1452085a92
1532950ca3
hex20552040

542449728 has 42 divisors (see below), whose sum is σ = 1554835854. Its totient is φ = 180816384.

The previous prime is 542449703. The next prime is 542449729. The reversal of 542449728 is 827944245.

It can be written as a sum of positive squares in only one way, i.e., 516561984 + 25887744 = 22728^2 + 5088^2 .

It is not an unprimeable number, because it can be changed into a prime (542449729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 470301 + ... + 471452.

Almost surely, 2542449728 is an apocalyptic number.

It is an amenable number.

542449728 is an abundant number, since it is smaller than the sum of its proper divisors (1012386126).

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

542449728 is a wasteful number, since it uses less digits than its factorization.

542449728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941771 (or 941758 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 542449728 is about 23290.5501867174. The cubic root of 542449728 is about 815.5548321545.

The spelling of 542449728 in words is "five hundred forty-two million, four hundred forty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 941753 1883506 2825259 3767012 5650518 7534024 8475777 11301036 15068048 16951554 22602072 30136096 33903108 45204144 60272192 67806216 90408288 135612432 180816576 271224864 542449728