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48129 = 361263
BaseRepresentation
bin1011110000000001
32110000120
423300001
53020004
61010453
7260214
oct136001
973016
1048129
1133184
1223a29
1318ba3
141377b
15e3d9
hexbc01

48129 has 8 divisors (see below), whose sum is σ = 65472. Its totient is φ = 31440.

The previous prime is 48121. The next prime is 48131. The reversal of 48129 is 92184.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 48129 - 23 = 48121 is a prime.

It is a Curzon number.

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 48099 and 48108.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 48129.

It is not an unprimeable number, because it can be changed into a prime (48121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52 + ... + 314.

It is an arithmetic number, because the mean of its divisors is an integer number (8184).

It is a Proth number, since it is equal to 47 ⋅ 210 + 1 and 47 < 210.

248129 is an apocalyptic number.

It is an amenable number.

48129 is a deficient number, since it is larger than the sum of its proper divisors (17343).

48129 is a wasteful number, since it uses less digits than its factorization.

48129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327.

The product of its digits is 576, while the sum is 24.

The square root of 48129 is about 219.3832263415. The cubic root of 48129 is about 36.3749394786.

The spelling of 48129 in words is "forty-eight thousand, one hundred twenty-nine".

Divisors: 1 3 61 183 263 789 16043 48129