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48381168 = 2431191631
BaseRepresentation
bin1011100010001…
…1110011110000
310101001000111010
42320203303300
544341144133
64444550520
71125142653
oct270436360
9111030433
1048381168
1125345540
1214252440
13a03c614
1465d589a
1543aa263
hex2e23cf0

48381168 has 40 divisors (see below), whose sum is σ = 136348416. Its totient is φ = 14660800.

The previous prime is 48381143. The next prime is 48381181. The reversal of 48381168 is 86118384.

48381168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

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, 45288 + ... + 46343.

Almost surely, 248381168 is an apocalyptic number.

48381168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

48381168 is an abundant number, since it is smaller than the sum of its proper divisors (87967248).

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

48381168 is a wasteful number, since it uses less digits than its factorization.

48381168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91653 (or 91647 counting only the distinct ones).

The product of its digits is 36864, while the sum is 39.

The square root of 48381168 is about 6955.6572658520. The cubic root of 48381168 is about 364.3835670122.

It can be divided in two parts, 4838 and 1168, that added together give a palindrome (6006).

The spelling of 48381168 in words is "forty-eight million, three hundred eighty-one thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 91631 183262 274893 366524 549786 733048 1007941 1099572 1466096 2015882 2199144 3023823 4031764 4398288 6047646 8063528 12095292 16127056 24190584 48381168