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552132 = 223272313
BaseRepresentation
bin10000110110011000100
31001001101100
42012303010
5120132012
615500100
74456500
oct2066304
91031340
10552132
11347909
12227630
13164409
14105300
15ad8dc
hex86cc4

552132 has 54 divisors (see below), whose sum is σ = 1628718. Its totient is φ = 157248.

The previous prime is 552127. The next prime is 552137. The reversal of 552132 is 231255.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (552127) and next prime (552137).

It can be written as a sum of positive squares in only one way, i.e., 298116 + 254016 = 546^2 + 504^2 .

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

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 552132.

It is not an unprimeable number, because it can be changed into a prime (552137) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1608 + ... + 1920.

2552132 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 552132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814359).

552132 is an abundant number, since it is smaller than the sum of its proper divisors (1076586).

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

552132 is a wasteful number, since it uses less digits than its factorization.

552132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 325 counting only the distinct ones).

The product of its digits is 300, while the sum is 18.

The square root of 552132 is about 743.0558525441. The cubic root of 552132 is about 82.0378568012.

Adding to 552132 its reverse (231255), we get a palindrome (783387).

It can be divided in two parts, 55 and 2132, that added together give a 7-th power (2187 = 37).

The spelling of 552132 in words is "five hundred fifty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 313 441 588 626 882 939 1252 1764 1878 2191 2817 3756 4382 5634 6573 8764 11268 13146 15337 19719 26292 30674 39438 46011 61348 78876 92022 138033 184044 276066 552132