49284 has 27 divisors (see below), whose sum is σ = 128037. Its totient is φ = 15984.

The previous prime is 49279. The next prime is 49297. The reversal of 49284 is 48294.

49284 = T_{32} + T_{33} + ... +
T_{68}.

The square root of 49284 is 222.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 44100 + 5184 = 210^2 + 72^2 .

It is an unprimeable number.

49284 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1314 + ... + 1350.

2^{49284} is an apocalyptic number.

49284 is the 222-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49284

49284 is an abundant number, since it is smaller than the sum of its proper divisors (78753).

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

49284 is a wasteful number, since it uses less digits than its factorization.

49284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 42 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The cubic root of 49284 is about 36.6636177446.

Multiplying 49284 by its product of digits (2304), we get a square (113550336 = 10656^{2}).

Subtracting from 49284 its reverse (48294), we obtain a triangular number (990 = T_{44}).

It can be divided in two parts, 492 and 84, that multiplied together give a triangular number (41328 = T_{287}).

The spelling of 49284 in words is "forty-nine thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 1369 2738 4107 5476 8214 12321 16428 24642 49284

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