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48276 = 2234149
BaseRepresentation
bin1011110010010100
32110020000
423302110
53021101
61011300
7260514
oct136224
973200
1048276
11332a8
1223b30
1318c87
1413844
15e486
hexbc94

48276 has 30 divisors (see below), whose sum is σ = 127050. Its totient is φ = 15984.

The previous prime is 48271. The next prime is 48281. The reversal of 48276 is 67284.

48276 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (48271) and next prime (48281).

It can be written as a sum of positive squares in only one way, i.e., 32400 + 15876 = 180^2 + 126^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48271) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 250 + ... + 398.

It is an arithmetic number, because the mean of its divisors is an integer number (4235).

248276 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63525).

48276 is an abundant number, since it is smaller than the sum of its proper divisors (78774).

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

48276 is a wasteful number, since it uses less digits than its factorization.

48276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 154 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 48276 is about 219.7180010832. The cubic root of 48276 is about 36.4119350630.

It can be divided in two parts, 48 and 276, that added together give a square (324 = 182).

The spelling of 48276 in words is "forty-eight thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 149 162 298 324 447 596 894 1341 1788 2682 4023 5364 8046 12069 16092 24138 48276