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48528 = 2432337
BaseRepresentation
bin1011110110010000
32110120100
423312100
53023103
61012400
7261324
oct136620
973510
1048528
1133507
1224100
131911c
1413984
15e5a3
hexbd90

48528 has 30 divisors (see below), whose sum is σ = 136214. Its totient is φ = 16128.

The previous prime is 48527. The next prime is 48533. The reversal of 48528 is 82584.

48528 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 can be written as a sum of positive squares in only one way, i.e., 36864 + 11664 = 192^2 + 108^2 .

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 48528.

It is not an unprimeable number, because it can be changed into a prime (48523) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25 + ... + 312.

248528 is an apocalyptic number.

48528 is a gapful number since it is divisible by the number (48) 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 48528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68107).

48528 is an abundant number, since it is smaller than the sum of its proper divisors (87686).

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

48528 is a wasteful number, since it uses less digits than its factorization.

48528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 342 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 48528 is about 220.2907170082. The cubic root of 48528 is about 36.4751817274.

It can be divided in two parts, 48 and 528, that added together give a square (576 = 242).

The spelling of 48528 in words is "forty-eight thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 337 674 1011 1348 2022 2696 3033 4044 5392 6066 8088 12132 16176 24264 48528