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7936 = 2831
BaseRepresentation
bin1111100000000
3101212221
41330000
5223221
6100424
732065
oct17400
911787
107936
115a65
124714
1337c6
142c6c
152541
hex1f00

7936 has 18 divisors (see below), whose sum is σ = 16352. Its totient is φ = 3840.

The previous prime is 7933. The next prime is 7937. The reversal of 7936 is 6397.

It is a nialpdrome in base 2.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 7936.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 241 + ... + 271.

27936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8176).

7936 is an abundant number, since it is smaller than the sum of its proper divisors (8416).

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

7936 is an equidigital number, since it uses as much as digits as its factorization.

7936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47 (or 33 counting only the distinct ones).

The product of its digits is 1134, while the sum is 25.

The square root of 7936 is about 89.0842298053. The cubic root of 7936 is about 19.9465238090.

The spelling of 7936 in words is "seven thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 496 992 1984 3968 7936