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16452 = 2232457
BaseRepresentation
bin100000001000100
3211120100
410001010
51011302
6204100
765652
oct40104
924510
1016452
11113a7
129630
137647
145dd2
154d1c
hex4044

16452 has 18 divisors (see below), whose sum is σ = 41678. Its totient is φ = 5472.

The previous prime is 16451. The next prime is 16453. The reversal of 16452 is 25461.

It is a happy number.

16452 is nontrivially palindromic in base 8.

It is an interprime number because it is at equal distance from previous prime (16451) and next prime (16453).

It can be written as a sum of positive squares in only one way, i.e., 15876 + 576 = 126^2 + 24^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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

It is a nialpdrome in base 12.

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 16452.

It is not an unprimeable number, because it can be changed into a prime (16451) 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 5 ways as a sum of consecutive naturals, for example, 193 + ... + 264.

216452 is an apocalyptic number.

16452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

16452 is an abundant number, since it is smaller than the sum of its proper divisors (25226).

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

16452 is a wasteful number, since it uses less digits than its factorization.

16452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 462 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 16452 is about 128.2653499586. The cubic root of 16452 is about 25.4335061151.

Subtracting 16452 from its reverse (25461), we obtain a palindrome (9009).

It can be divided in two parts, 164 and 52, that added together give a cube (216 = 63).

The spelling of 16452 in words is "sixteen thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 457 914 1371 1828 2742 4113 5484 8226 16452