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20385648 = 243347189
BaseRepresentation
bin100110111000…
…0111101110000
31102100200212000
41031300331300
520204320043
62004534000
7335163243
oct115607560
942320760
1020385648
1110564048
1269b1300
1342b9b1a
1429c925a
151bca2d3
hex1370f70

20385648 has 40 divisors (see below), whose sum is σ = 58515600. Its totient is φ = 6795072.

The previous prime is 20385641. The next prime is 20385649. The reversal of 20385648 is 84658302.

20385648 is a `hidden beast` number, since 2 + 0 + 3 + 8 + 5 + 648 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20385641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23163 + ... + 24026.

It is an arithmetic number, because the mean of its divisors is an integer number (1462890).

Almost surely, 220385648 is an apocalyptic number.

It is an amenable number.

20385648 is an abundant number, since it is smaller than the sum of its proper divisors (38129952).

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

20385648 is a wasteful number, since it uses less digits than its factorization.

20385648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47206 (or 47194 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 20385648 is about 4515.0468436108. The cubic root of 20385648 is about 273.1753492489.

The spelling of 20385648 in words is "twenty million, three hundred eighty-five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 47189 94378 141567 188756 283134 377512 424701 566268 755024 849402 1132536 1274103 1698804 2265072 2548206 3397608 5096412 6795216 10192824 20385648