2952 has 24 divisors (see below), whose sum is σ = 8190. Its totient is φ = 960.

The previous prime is 2939. The next prime is 2953. The reversal of 2952 is 2592.

It can be written as a sum of positive squares in only one way, i.e., 2916 + 36 = 54^2 + 6^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a cake number, because a cake can be divided into 2952 parts by 26 planar cuts.

2952 is an undulating number in base 9.

It is a plaindrome in base 11.

It is a nialpdrome in base 16.

It is a zygodrome in base 3 and base 11.

It is not an unprimeable number, because it can be changed into a prime (2953) by changing a digit.

2952 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 in 5 ways as a sum of consecutive naturals, for example, 52 + ... + 92.

2^{2952} 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 2952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4095).

2952 is an abundant number, since it is smaller than the sum of its proper divisors (5238).

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

2952 is a wasteful number, since it uses less digits than its factorization.

2952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 46 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 2952 is about 54.3323108288. The cubic root of 2952 is about 14.3451618002.

Subtracting from 2952 its product of digits (180), we obtain a palindrome (2772).

It can be divided in two parts, 29 and 52, that added together give a 4-th power (81 = 3^{4}).

The spelling of 2952 in words is "two thousand, nine hundred fifty-two".

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