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3776 = 2659
BaseRepresentation
bin111011000000
312011212
4323000
5110101
625252
714003
oct7300
95155
103776
112923
122228
131946
14153a
1511bb
hexec0

3776 has 14 divisors (see below), whose sum is σ = 7620. Its totient is φ = 1856.

The previous prime is 3769. The next prime is 3779. The reversal of 3776 is 6773.

It can be divided in two parts, 377 and 6, that added together give a palindrome (383).

3776 is nontrivially palindromic in base 6.

3776 is an undulating number in base 6.

It is a plaindrome in base 12 and base 15.

It is a nialpdrome in base 8 and base 16.

It is a zygodrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 3776.

It is not an unprimeable number, because it can be changed into a prime (3779) 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, 35 + ... + 93.

23776 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 3776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3810).

3776 is an abundant number, since it is smaller than the sum of its proper divisors (3844).

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

3776 is an equidigital number, since it uses as much as digits as its factorization.

3776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 61 counting only the distinct ones).

The product of its digits is 882, while the sum is 23.

The square root of 3776 is about 61.4491659829. The cubic root of 3776 is about 15.5719856635.

The spelling of 3776 in words is "three thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 16 32 59 64 118 236 472 944 1888 3776