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48114 = 23711
BaseRepresentation
bin1011101111110010
32110000000
423233302
53014424
61010430
7260163
oct135762
973000
1048114
1133170
1223a16
1318b91
141376a
15e3c9
hexbbf2

48114 has 32 divisors (see below), whose sum is σ = 118080. Its totient is φ = 14580.

The previous prime is 48109. The next prime is 48119. The reversal of 48114 is 41184.

Adding to 48114 its reverse (41184), we get a palindrome (89298).

It can be divided in two parts, 4 and 8114, that added together give a palindrome (8118).

It is an interprime number because it is at equal distance from previous prime (48109) and next prime (48119).

It is a Harshad number since it is a multiple of its sum of digits (18).

Its product of digits (128) is a multiple of the sum of its prime divisors (16).

It is a nialpdrome in base 3 and base 9.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 48114.

It is not an unprimeable number, because it can be changed into a prime (48119) 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 15 ways as a sum of consecutive naturals, for example, 4369 + ... + 4379.

It is an arithmetic number, because the mean of its divisors is an integer number (3690).

248114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59040).

48114 is an abundant number, since it is smaller than the sum of its proper divisors (69966).

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

48114 is an equidigital number, since it uses as much as digits as its factorization.

48114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34 (or 16 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 48114 is about 219.3490369252. The cubic root of 48114 is about 36.3711601856.

The spelling of 48114 in words is "forty-eight thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 243 297 486 594 729 891 1458 1782 2187 2673 4374 5346 8019 16038 24057 48114