Search a number
-
+
532128 = 25323241
BaseRepresentation
bin10000001111010100000
31000000221110
42001322200
5114012003
615223320
74344252
oct2017240
91000843
10532128
11333883
12217b40
1315828c
14dbcd2
15a7a03
hex81ea0

532128 has 48 divisors (see below), whose sum is σ = 1463616. Its totient is φ = 168960.

The previous prime is 532099. The next prime is 532141. The reversal of 532128 is 821235.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2088 + ... + 2328.

It is an arithmetic number, because the mean of its divisors is an integer number (30492).

2532128 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 532128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731808).

532128 is an abundant number, since it is smaller than the sum of its proper divisors (931488).

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

532128 is a wasteful number, since it uses less digits than its factorization.

532128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 269 counting only the distinct ones).

The product of its digits is 480, while the sum is 21.

The square root of 532128 is about 729.4710412347. The cubic root of 532128 is about 81.0348881868.

The spelling of 532128 in words is "five hundred thirty-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 241 276 368 482 552 723 736 964 1104 1446 1928 2208 2892 3856 5543 5784 7712 11086 11568 16629 22172 23136 33258 44344 66516 88688 133032 177376 266064 532128