Search a number
-
+
532290528 = 25357211127
BaseRepresentation
bin11111101110100…
…001101111100000
31101002121011100000
4133232201233200
52042231244103
6124452500000
716122252300
oct3756415740
91332534300
10532290528
11253511830
1212a31a600
138637c813
145099d600
1531ae5aa3
hex1fba1be0

532290528 has 432 divisors, whose sum is σ = 2007742464. Its totient is φ = 137168640.

The previous prime is 532290497. The next prime is 532290533. The reversal of 532290528 is 825092235.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 532290492 and 532290501.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4191201 + ... + 4191327.

It is an arithmetic number, because the mean of its divisors is an integer number (4647552).

Almost surely, 2532290528 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 532290528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003871232).

532290528 is an abundant number, since it is smaller than the sum of its proper divisors (1475451936).

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

532290528 is a wasteful number, since it uses less digits than its factorization.

532290528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 532290528 is about 23071.4223228651. The cubic root of 532290528 is about 810.4313751635.

The spelling of 532290528 in words is "five hundred thirty-two million, two hundred ninety thousand, five hundred twenty-eight".