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48357 = 35199
BaseRepresentation
bin1011110011100101
32110100000
423303211
53021412
61011513
7260661
oct136345
973300
1048357
1133371
1223b99
131901a
14138a1
15e4dc
hexbce5

48357 has 12 divisors (see below), whose sum is σ = 72800. Its totient is φ = 32076.

The previous prime is 48353. The next prime is 48371. The reversal of 48357 is 75384.

It is not a de Polignac number, because 48357 - 22 = 48353 is a prime.

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

It is a Duffinian number.

It is a nialpdrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 48357.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48353) 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, 144 + ... + 342.

248357 is an apocalyptic number.

It is an amenable number.

48357 is a deficient number, since it is larger than the sum of its proper divisors (24443).

48357 is an equidigital number, since it uses as much as digits as its factorization.

48357 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 202 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 48357 is about 219.9022510117. The cubic root of 48357 is about 36.4322883009.

Adding to 48357 its sum of digits (27), we get a palindrome (48384).

The spelling of 48357 in words is "forty-eight thousand, three hundred fifty-seven".

Divisors: 1 3 9 27 81 199 243 597 1791 5373 16119 48357