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5952 = 26331
BaseRepresentation
bin1011101000000
322011110
41131000
5142302
643320
723232
oct13500
98143
105952
114521
123540
13292b
142252
151b6c
hex1740

5952 has 28 divisors (see below), whose sum is σ = 16256. Its totient is φ = 1920.

The previous prime is 5939. The next prime is 5953. The reversal of 5952 is 2595.

It can be divided in two parts, 59 and 52, that added together give a palindrome (111).

5952 is nontrivially palindromic in base 7.

5952 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

5952 is an undulating number in base 7.

It is a nialpdrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5953) by changing a digit.

5952 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 3 ways as a sum of consecutive naturals, for example, 177 + ... + 207.

25952 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 5952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8128).

5952 is an abundant number, since it is smaller than the sum of its proper divisors (10304).

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

5952 is a wasteful number, since it uses less digits than its factorization.

5952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46 (or 36 counting only the distinct ones).

The product of its digits is 450, while the sum is 21.

The square root of 5952 is about 77.1492060879. The cubic root of 5952 is about 18.1226195843.

The spelling of 5952 in words is "five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 372 496 744 992 1488 1984 2976 5952