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39228 = 2237467
BaseRepresentation
bin1001100100111100
31222210220
421210330
52223403
6501340
7222240
oct114474
958726
1039228
1127522
121a850
1314b17
1410420
15b953
hex993c

39228 has 24 divisors (see below), whose sum is σ = 104832. Its totient is φ = 11184.

The previous prime is 39227. The next prime is 39229. The reversal of 39228 is 82293.

39228 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (39227) and next prime (39229).

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 39198 and 39207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39227) 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, 150 + ... + 317.

It is an arithmetic number, because the mean of its divisors is an integer number (4368).

239228 is an apocalyptic number.

It is an amenable number.

39228 is an abundant number, since it is smaller than the sum of its proper divisors (65604).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52416).

39228 is a wasteful number, since it uses less digits than its factorization.

39228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 479 counting only the distinct ones).

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

The square root of 39228 is about 198.0605967880. The cubic root of 39228 is about 33.9780712115.

Subtracting from 39228 its sum of digits (24), we obtain a square (39204 = 1982).

The spelling of 39228 in words is "thirty-nine thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 467 934 1401 1868 2802 3269 5604 6538 9807 13076 19614 39228