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20427048 = 2332532101
BaseRepresentation
bin100110111101…
…1000100101000
31102102210122100
41031323010220
520212131143
62005453400
7335425035
oct115730450
942383570
1020427048
1110592164
126a11260
134302915
1429da38c
151bd76d3
hex137b128

20427048 has 72 divisors (see below), whose sum is σ = 56945070. Its totient is φ = 6614400.

The previous prime is 20427041. The next prime is 20427067. The reversal of 20427048 is 84072402.

It can be written as a sum of positive squares in 3 ways, for example, as 20088324 + 338724 = 4482^2 + 582^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (20427041) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 202198 + ... + 202298.

Almost surely, 220427048 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 20427048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28472535).

20427048 is an abundant number, since it is smaller than the sum of its proper divisors (36518022).

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

20427048 is a wasteful number, since it uses less digits than its factorization.

20427048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 20427048 is about 4519.6291883295. The cubic root of 20427048 is about 273.3601493950.

The spelling of 20427048 in words is "twenty million, four hundred twenty-seven thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 101 106 159 202 212 303 318 404 424 477 606 636 808 909 954 1212 1272 1818 1908 2424 2809 3636 3816 5353 5618 7272 8427 10706 11236 16059 16854 21412 22472 25281 32118 33708 42824 48177 50562 64236 67416 96354 101124 128472 192708 202248 283709 385416 567418 851127 1134836 1702254 2269672 2553381 3404508 5106762 6809016 10213524 20427048