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48093 = 3172341
BaseRepresentation
bin1011101111011101
32102222020
423233131
53014333
61010353
7260133
oct135735
972866
1048093
1133151
12239b9
1318b76
1413753
15e3b3
hexbbdd

48093 has 16 divisors (see below), whose sum is σ = 72576. Its totient is φ = 28160.

The previous prime is 48091. The next prime is 48109. The reversal of 48093 is 39084.

48093 is nontrivially palindromic in base 2.

It is a cyclic number.

It is not a de Polignac number, because 48093 - 21 = 48091 is a prime.

It is a super-3 number, since 3×480933 = 333708186781071, which contains 333 as substring.

It is a plaindrome in base 16.

It is a zygodrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1153 + ... + 1193.

It is an arithmetic number, because the mean of its divisors is an integer number (4536).

248093 is an apocalyptic number.

It is an amenable number.

48093 is a deficient number, since it is larger than the sum of its proper divisors (24483).

48093 is a wasteful number, since it uses less digits than its factorization.

48093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84.

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 48093 is about 219.3011627876. The cubic root of 48093 is about 36.3658678555.

Subtracting from 48093 its reverse (39084), we obtain a palindrome (9009).

The spelling of 48093 in words is "forty-eight thousand, ninety-three".

Divisors: 1 3 17 23 41 51 69 123 391 697 943 1173 2091 2829 16031 48093