Search a number
-
+
20562048 = 2732131373
BaseRepresentation
bin100111001110…
…0000010000000
31102200122211100
41032130002000
520230441143
62012414400
7336526443
oct116340200
942618740
1020562048
1110674631
126a77400
13434c1c0
142a3365a
151c126d3
hex139c080

20562048 has 96 divisors (see below), whose sum is σ = 63767340. Its totient is φ = 6322176.

The previous prime is 20562043. The next prime is 20562049. The reversal of 20562048 is 84026502.

It can be written as a sum of positive squares in 2 ways, for example, as 20142144 + 419904 = 4488^2 + 648^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (20562043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14290 + ... + 15662.

Almost surely, 220562048 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 20562048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31883670).

20562048 is an abundant number, since it is smaller than the sum of its proper divisors (43205292).

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

20562048 is a wasteful number, since it uses less digits than its factorization.

20562048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1406 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 20562048 is about 4534.5394473971. The cubic root of 20562048 is about 273.9610294976.

The spelling of 20562048 in words is "twenty million, five hundred sixty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 288 312 384 416 468 576 624 832 936 1152 1248 1373 1664 1872 2496 2746 3744 4119 4992 5492 7488 8238 10984 12357 14976 16476 17849 21968 24714 32952 35698 43936 49428 53547 65904 71396 87872 98856 107094 131808 142792 160641 175744 197712 214188 263616 285584 321282 395424 428376 527232 571168 642564 790848 856752 1142336 1285128 1581696 1713504 2284672 2570256 3427008 5140512 6854016 10281024 20562048