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48117 = 343373
BaseRepresentation
bin1011101111110101
32110000010
423233311
53014432
61010433
7260166
oct135765
973003
1048117
1133173
1223a19
1318b94
141376d
15e3cc
hexbbf5

48117 has 8 divisors (see below), whose sum is σ = 65824. Its totient is φ = 31248.

The previous prime is 48109. The next prime is 48119. The reversal of 48117 is 71184.

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

It is not a de Polignac number, because 48117 - 23 = 48109 is a prime.

It is a Duffinian number.

48117 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 48093 and 48102.

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 48117.

It is not an unprimeable number, because it can be changed into a prime (48119) 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, 58 + ... + 315.

It is an arithmetic number, because the mean of its divisors is an integer number (8228).

248117 is an apocalyptic number.

It is an amenable number.

48117 is a deficient number, since it is larger than the sum of its proper divisors (17707).

48117 is a wasteful number, since it uses less digits than its factorization.

48117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419.

The product of its digits is 224, while the sum is 21.

The square root of 48117 is about 219.3558752347. The cubic root of 48117 is about 36.3719161070.

The spelling of 48117 in words is "forty-eight thousand, one hundred seventeen".

Divisors: 1 3 43 129 373 1119 16039 48117