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532125 = 32531143
BaseRepresentation
bin10000001111010011101
31000000221100
42001322131
5114012000
615223313
74344246
oct2017235
91000840
10532125
11333880
12217b39
13158289
14dbccd
15a7a00
hex81e9d

532125 has 48 divisors (see below), whose sum is σ = 1070784. Its totient is φ = 252000.

The previous prime is 532099. The next prime is 532141. The reversal of 532125 is 521235.

It is a happy number.

532125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 532125 - 25 = 532093 is a prime.

Its product of digits (300) is a multiple of the sum of its prime factors (75).

It is a junction number, because it is equal to n+sod(n) for n = 532098 and 532107.

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 532125.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12354 + ... + 12396.

It is an arithmetic number, because the mean of its divisors is an integer number (22308).

2532125 is an apocalyptic number.

532125 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

532125 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

532125 is a wasteful number, since it uses less digits than its factorization.

532125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 62 counting only the distinct ones).

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

The square root of 532125 is about 729.4689849473. The cubic root of 532125 is about 81.0347359020.

The spelling of 532125 in words is "five hundred thirty-two thousand, one hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 33 43 45 55 75 99 125 129 165 215 225 275 375 387 473 495 645 825 1075 1125 1375 1419 1935 2365 2475 3225 4125 4257 5375 7095 9675 11825 12375 16125 21285 35475 48375 59125 106425 177375 532125