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48544 = 253741
BaseRepresentation
bin1011110110100000
32110120221
423312200
53023134
61012424
7261346
oct136640
973527
1048544
1133521
1224114
1319132
1413996
15e5b4
hexbda0

48544 has 24 divisors (see below), whose sum is σ = 100548. Its totient is φ = 23040.

The previous prime is 48541. The next prime is 48563. The reversal of 48544 is 44584.

48544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 48400 + 144 = 220^2 + 12^2 .

It is a Smith number, since the sum of its digits (25) coincides with the sum of the digits of its prime factors.

Its product of digits (2560) is a multiple of the sum of its prime divisors (80).

It is not an unprimeable number, because it can be changed into a prime (48541) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1164 + ... + 1204.

248544 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 48544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50274).

48544 is an abundant number, since it is smaller than the sum of its proper divisors (52004).

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

48544 is a wasteful number, since it uses less digits than its factorization.

48544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 80 counting only the distinct ones).

The product of its digits is 2560, while the sum is 25.

The square root of 48544 is about 220.3270296627. The cubic root of 48544 is about 36.4791899892.

It can be divided in two parts, 485 and 44, that added together give a square (529 = 232).

The spelling of 48544 in words is "forty-eight thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 32 37 41 74 82 148 164 296 328 592 656 1184 1312 1517 3034 6068 12136 24272 48544