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39339 = 333147
BaseRepresentation
bin1001100110101011
31222222000
421212223
52224324
6502043
7222456
oct114653
958860
1039339
1127613
121a923
1314ba1
141049d
15b9c9
hex99ab

39339 has 16 divisors (see below), whose sum is σ = 61440. Its totient is φ = 24840.

The previous prime is 39323. The next prime is 39341. The reversal of 39339 is 93393.

It is not a de Polignac number, because 39339 - 24 = 39323 is a prime.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (2187) is a multiple of the sum of its prime divisors (81).

It is a plaindrome in base 7 and base 16.

It is not an unprimeable number, because it can be changed into a prime (39359) 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, 814 + ... + 860.

It is an arithmetic number, because the mean of its divisors is an integer number (3840).

239339 is an apocalyptic number.

39339 is a deficient number, since it is larger than the sum of its proper divisors (22101).

39339 is a wasteful number, since it uses less digits than its factorization.

39339 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 81 counting only the distinct ones).

The product of its digits is 2187, while the sum is 27.

The square root of 39339 is about 198.3406161128. The cubic root of 39339 is about 34.0100892780.

Multiplying 39339 by its sum of digits (27), we get a triangular number (1062153 = T1457).

It can be divided in two parts, 39 and 339, that added together give a triangular number (378 = T27).

The spelling of 39339 in words is "thirty-nine thousand, three hundred thirty-nine".

Divisors: 1 3 9 27 31 47 93 141 279 423 837 1269 1457 4371 13113 39339