1952 has 12 divisors (see below), whose sum is σ = 3906. Its totient is φ = 960.

The previous prime is 1951. The next prime is 1973. The reversal of 1952 is 2591.

1952 is nontrivially palindromic in base 3.

1952 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in only one way, i.e., 1936 + 16 = 44^2 + 4^2 .

1952 is an admirable number.

It is a Smith number, since the sum of its digits (17) coincides with the sum of the digits of its prime factors.

It is a magnanimous number.

1952 is an undulating number in base 11.

It is a plaindrome in base 12.

It is a nialpdrome in base 13.

It is a zygodrome in base 3.

It is a self number, because there is not a number *n* which added to its sum of digits gives 1952.

It is not an unprimeable number, because it can be changed into a prime (1951) 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, 2 + ... + 62.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1953).

1952 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.

1952 is an equidigital number, since it uses as much as digits as its factorization.

1952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 63 counting only the distinct ones).

The product of its digits is 90, while the sum is 17.

The square root of 1952 is about 44.1814440687. The cubic root of 1952 is about 12.4975995391.

The spelling of 1952 in words is "one thousand, nine hundred fifty-two".

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