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48240 = 2432567
BaseRepresentation
bin1011110001110000
32110011200
423301300
53020430
61011200
7260433
oct136160
973150
1048240
1133275
1223b00
1318c5a
141381a
15e460
hexbc70

48240 has 60 divisors (see below), whose sum is σ = 164424. Its totient is φ = 12672.

The previous prime is 48239. The next prime is 48247. The reversal of 48240 is 4284.

Subtracting from 48240 its reverse (4284), we obtain a triangular number (43956 = T296).

It is a happy number.

48240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 48240.

It is not an unprimeable number, because it can be changed into a prime (48247) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 687 + ... + 753.

248240 is an apocalyptic number.

48240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82212).

48240 is an abundant number, since it is smaller than the sum of its proper divisors (116184).

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

48240 is a wasteful number, since it uses less digits than its factorization.

48240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 48240 is about 219.6360626127. The cubic root of 48240 is about 36.4028818714.

The spelling of 48240 in words is "forty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 67 72 80 90 120 134 144 180 201 240 268 335 360 402 536 603 670 720 804 1005 1072 1206 1340 1608 2010 2412 2680 3015 3216 4020 4824 5360 6030 8040 9648 12060 16080 24120 48240