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392 = 2372

• 392 can be written using four 4's:

See also 113.
392 has 12 divisors (see below), whose sum is σ = 855. Its totient is φ = 168.

The previous prime is 389. The next prime is 397. The reversal of 392 is 293.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

392 is nontrivially palindromic in base 13.

It can be written as a sum of positive squares in only one way, i.e., 196 + 196 = 14^2 + 14^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=14.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a Duffinian number.

392 is an undulating number in base 13.

Its product of digits (54) is a multiple of the sum of its prime divisors (9).

It is a plaindrome in base 12 and base 16.

It is a nialpdrome in base 7, base 8 and base 14.

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 53 + ... + 59.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 392

392 is an abundant number, since it is smaller than the sum of its proper divisors (463).

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

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

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

The sum of its prime factors is 20 (or 9 counting only the distinct ones).

The product of its digits is 54, while the sum is 14.

The square root of 392 is about 19.7989898732. The cubic root of 392 is about 7.3186114200.

Adding to 392 its sum of digits (14), we get a triangular number (406 = T28).

Subtracting from 392 its sum of digits (14), we obtain a triangular number (378 = T27).

392 divided by its sum of digits (14) gives a triangular number (28 = T7).

Subtracting from 392 its reverse (293), we obtain a palindrome (99).

It can be divided in two parts, 39 and 2, that multiplied together give a triangular number (78 = T12).

The spelling of 392 in words is "three hundred ninety-two", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392