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3796 = 221373
BaseRepresentation
bin111011010100
312012121
4323110
5110141
625324
714032
oct7324
95177
103796
112941
122244
131960
141552
1511d1
hexed4

3796 has 12 divisors (see below), whose sum is σ = 7252. Its totient is φ = 1728.

The previous prime is 3793. The next prime is 3797. The reversal of 3796 is 6973.

It can be written as a sum of positive squares in 2 ways, for example, as 1296 + 2500 = 36^2 + 50^2 .

It is a plaindrome in base 12.

It is a nialpdrome in base 16.

It is a zygodrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 3796.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 3796.

It is not an unprimeable number, because it can be changed into a prime (3793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16 + ... + 88.

It is an amenable number.

3796 is a deficient number, since it is larger than the sum of its proper divisors (3456).

3796 is a wasteful number, since it uses less digits than its factorization.

3796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 88 counting only the distinct ones).

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

The square root of 3796 is about 61.6116872030. The cubic root of 3796 is about 15.5994301786.

Subtracting from 3796 its product of digits (1134), we obtain a palindrome (2662).

The spelling of 3796 in words is "three thousand, seven hundred ninety-six".

Divisors: 1 2 4 13 26 52 73 146 292 949 1898 3796