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48686112 = 2532169049
BaseRepresentation
bin1011100110111…
…0010000100000
310101121111210100
42321232100200
544430423422
64455302400
71130553006
oct271562040
9111544710
1048686112
1125533662
121437aa00
13a118367
146674a76
15441a7ac
hex2e6e420

48686112 has 36 divisors (see below), whose sum is σ = 138451950. Its totient is φ = 16228608.

The previous prime is 48686093. The next prime is 48686119. The reversal of 48686112 is 21168684.

It can be written as a sum of positive squares in only one way, i.e., 41525136 + 7160976 = 6444^2 + 2676^2 .

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

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

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

It is not an unprimeable number, because it can be changed into a prime (48686119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 84237 + ... + 84812.

Almost surely, 248686112 is an apocalyptic number.

It is an amenable number.

48686112 is an abundant number, since it is smaller than the sum of its proper divisors (89765838).

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

48686112 is a wasteful number, since it uses less digits than its factorization.

48686112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169065 (or 169054 counting only the distinct ones).

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

The square root of 48686112 is about 6977.5434072458. The cubic root of 48686112 is about 365.1475277781.

The spelling of 48686112 in words is "forty-eight million, six hundred eighty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 169049 338098 507147 676196 1014294 1352392 1521441 2028588 2704784 3042882 4057176 5409568 6085764 8114352 12171528 16228704 24343056 48686112