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638120808 = 233313227251
BaseRepresentation
bin100110000010001…
…111001101101000
31122110201220012000
4212002033031220
52301324331213
6143153051000
721545636343
oct4602171550
91573656160
10638120808
112a8225676
12159856a60
13a2284ca0
1460a6b45a
153b04cc73
hex2608f368

638120808 has 64 divisors (see below), whose sum is σ = 1908916800. Its totient is φ = 196344000.

The previous prime is 638120803. The next prime is 638120827. The reversal of 638120808 is 808021836.

638120808 is a `hidden beast` number, since 638 + 12 + 0 + 8 + 0 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (638120803) 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 15 ways as a sum of consecutive naturals, for example, 110818 + ... + 116433.

It is an arithmetic number, because the mean of its divisors is an integer number (29826825).

Almost surely, 2638120808 is an apocalyptic number.

It is an amenable number.

638120808 is an abundant number, since it is smaller than the sum of its proper divisors (1270795992).

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

638120808 is a wasteful number, since it uses less digits than its factorization.

638120808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227279 (or 227269 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 638120808 is about 25261.0531846952. The cubic root of 638120808 is about 860.9295915424.

The spelling of 638120808 in words is "six hundred thirty-eight million, one hundred twenty thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1404 2808 227251 454502 681753 909004 1363506 1818008 2045259 2727012 2954263 4090518 5454024 5908526 6135777 8181036 8862789 11817052 12271554 16362072 17725578 23634104 24543108 26588367 35451156 49086216 53176734 70902312 79765101 106353468 159530202 212706936 319060404 638120808