Search a number
-
+
20052608 = 27413821
BaseRepresentation
bin100110001111…
…1101010000000
31101201210000012
41030133222000
520113140413
61553444052
7332305262
oct114375200
941653005
1020052608
1110356904
126870628
134201364
14293db32
151b617a8
hex131fa80

20052608 has 32 divisors (see below), whose sum is σ = 40933620. Its totient is φ = 9779200.

The previous prime is 20052587. The next prime is 20052623. The reversal of 20052608 is 80625002.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 19998784 + 53824 = 4472^2 + 232^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3338 + ... + 7158.

Almost surely, 220052608 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 20052608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20466810).

20052608 is an abundant number, since it is smaller than the sum of its proper divisors (20881012).

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

20052608 is an equidigital number, since it uses as much as digits as its factorization.

20052608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3876 (or 3864 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 20052608 is about 4478.0138454453. The cubic root of 20052608 is about 271.6795534220.

The spelling of 20052608 in words is "twenty million, fifty-two thousand, six hundred eight".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 328 656 1312 2624 3821 5248 7642 15284 30568 61136 122272 156661 244544 313322 489088 626644 1253288 2506576 5013152 10026304 20052608