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48483936 = 2532168347
BaseRepresentation
bin1011100011110…
…0111001100000
310101020020110100
42320330321200
544402441221
64451102400
71126051404
oct270747140
9111206410
1048483936
1125405776
12142a1a00
13a077327
146621104
1543ca926
hex2e3ce60

48483936 has 36 divisors (see below), whose sum is σ = 137877012. Its totient is φ = 16161216.

The previous prime is 48483917. The next prime is 48483937. The reversal of 48483936 is 63938484.

48483936 is a `hidden beast` number, since 484 + 83 + 93 + 6 = 666.

48483936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 48483891 and 48483900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48483937) 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 5 ways as a sum of consecutive naturals, for example, 83886 + ... + 84461.

It is an arithmetic number, because the mean of its divisors is an integer number (3829917).

Almost surely, 248483936 is an apocalyptic number.

It is an amenable number.

48483936 is an abundant number, since it is smaller than the sum of its proper divisors (89393076).

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

48483936 is a wasteful number, since it uses less digits than its factorization.

48483936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168363 (or 168352 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 48483936 is about 6963.0407150899. The cubic root of 48483936 is about 364.6413841829.

The spelling of 48483936 in words is "forty-eight million, four hundred eighty-three thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 168347 336694 505041 673388 1010082 1346776 1515123 2020164 2693552 3030246 4040328 5387104 6060492 8080656 12120984 16161312 24241968 48483936