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7924 = 227283
BaseRepresentation
bin1111011110100
3101212111
41323310
5223144
6100404
732050
oct17364
911774
107924
115a54
124704
1337b7
142c60
152534
hex1ef4

7924 has 12 divisors (see below), whose sum is σ = 15904. Its totient is φ = 3384.

The previous prime is 7919. The next prime is 7927. The reversal of 7924 is 4297.

7924 is an admirable number.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 7895 and 7904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7927) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 114 + ... + 169.

27924 is an apocalyptic number.

It is an amenable number.

7924 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (7952).

7924 is a wasteful number, since it uses less digits than its factorization.

7924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 292 counting only the distinct ones).

The product of its digits is 504, while the sum is 22.

The square root of 7924 is about 89.0168523371. The cubic root of 7924 is about 19.9364650459.

Adding to 7924 its reverse (4297), we get a palindrome (12221).

The spelling of 7924 in words is "seven thousand, nine hundred twenty-four".

Divisors: 1 2 4 7 14 28 283 566 1132 1981 3962 7924