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48399 = 3131773
BaseRepresentation
bin1011110100001111
32110101120
423310033
53022044
61012023
7261051
oct136417
973346
1048399
11333aa
1224013
1319050
14138d1
15e519
hexbd0f

48399 has 16 divisors (see below), whose sum is σ = 74592. Its totient is φ = 27648.

The previous prime is 48397. The next prime is 48407. The reversal of 48399 is 99384.

It is a Cunningham number, because it is equal to 2202-1.

It is not a de Polignac number, because 48399 - 21 = 48397 is a prime.

48399 is a lucky number.

It is a plaindrome in base 11.

It is a zygodrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48397) 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, 627 + ... + 699.

It is an arithmetic number, because the mean of its divisors is an integer number (4662).

248399 is an apocalyptic number.

48399 is a deficient number, since it is larger than the sum of its proper divisors (26193).

48399 is a wasteful number, since it uses less digits than its factorization.

48399 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106.

The product of its digits is 7776, while the sum is 33.

The square root of 48399 is about 219.9977272610. The cubic root of 48399 is about 36.4428328848.

The spelling of 48399 in words is "forty-eight thousand, three hundred ninety-nine".

Divisors: 1 3 13 17 39 51 73 219 221 663 949 1241 2847 3723 16133 48399