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20553648 = 2433771163
BaseRepresentation
bin100111001100…
…1111110110000
31102200020022020
41032121332300
520230204043
62012311440
7336463113
oct116317660
942606266
1020553648
1110669295
126a72580
13434842b
142a3057a
151c0ee83
hex1399fb0

20553648 has 80 divisors (see below), whose sum is σ = 55639296. Its totient is φ = 6531840.

The previous prime is 20553647. The next prime is 20553691. The reversal of 20553648 is 84635502.

It is a super-2 number, since 2×205536482 = 844904892215808, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (20553647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126015 + ... + 126177.

Almost surely, 220553648 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 20553648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27819648).

20553648 is an abundant number, since it is smaller than the sum of its proper divisors (35085648).

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

20553648 is a wasteful number, since it uses less digits than its factorization.

20553648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 20553648 is about 4533.6131286205. The cubic root of 20553648 is about 273.9237182646.

The spelling of 20553648 in words is "twenty million, five hundred fifty-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 71 74 111 142 148 163 213 222 284 296 326 426 444 489 568 592 652 852 888 978 1136 1304 1704 1776 1956 2608 2627 3408 3912 5254 6031 7824 7881 10508 11573 12062 15762 18093 21016 23146 24124 31524 34719 36186 42032 46292 48248 63048 69438 72372 92584 96496 126096 138876 144744 185168 277752 289488 428201 555504 856402 1284603 1712804 2569206 3425608 5138412 6851216 10276824 20553648