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5928 = 2331319
BaseRepresentation
bin1011100101000
322010120
41130220
5142203
643240
723166
oct13450
98116
105928
1144aa
123520
132910
142236
151b53
hex1728

5928 has 32 divisors (see below), whose sum is σ = 16800. Its totient is φ = 1728.

The previous prime is 5927. The next prime is 5939. The reversal of 5928 is 8295.

5928 = T7 + T8 + ... + T32.

It is a Cunningham number, because it is equal to 772-1.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a plaindrome in base 11 and base 14.

It is a zygodrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 5898 and 5907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5923) 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, 303 + ... + 321.

It is an arithmetic number, because the mean of its divisors is an integer number (525).

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8400).

5928 is an abundant number, since it is smaller than the sum of its proper divisors (10872).

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

5928 is a wasteful number, since it uses less digits than its factorization.

5928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41 (or 37 counting only the distinct ones).

The product of its digits is 720, while the sum is 24.

The square root of 5928 is about 76.9935062197. The cubic root of 5928 is about 18.0982284114.

The spelling of 5928 in words is "five thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 76 78 104 114 152 156 228 247 312 456 494 741 988 1482 1976 2964 5928