Search a number
552 = 23323
BaseRepresentation
bin1000101000
3202110
420220
54202
62320
71416
oct1050
9673
10552
11462
123a0
13336
142b6
1526c
hex228

552 has 16 divisors (see below), whose sum is σ = 1440. Its totient is φ = 176.

The previous prime is 547. The next prime is 557. The reversal of 552 is 255.

552 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (547) and next prime (557).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a plaindrome in base 13, base 15 and base 16.

It is a nialpdrome in base 10.

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 552.

It is not an unprimeable number, because it can be changed into a prime (557) by changing a digit.

552 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 (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13 + ... + 35.

It is an arithmetic number, because the mean of its divisors is an integer number (90).

It is a pronic number, being equal to 23×24.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720).

552 is an abundant number, since it is smaller than the sum of its proper divisors (888).

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

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

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

The sum of its prime factors is 32 (or 28 counting only the distinct ones).

The product of its digits is 50, while the sum is 12.

The square root of 552 is about 23.4946802489. The cubic root of 552 is about 8.2031318594.

The spelling of 552 in words is "five hundred fifty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552