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532505028 = 2231122571427
BaseRepresentation
bin11111101111010…
…110000111000100
31101010000001120110
4133233112013010
52042310130103
6124501233020
716124134536
oct3757260704
91333001513
10532505028
11253648a00
1212a402770
1386426343
1450a17856
1531b39403
hex1fbd61c4

532505028 has 72 divisors (see below), whose sum is σ = 1372010976. Its totient is φ = 160624640.

The previous prime is 532505023. The next prime is 532505069. The reversal of 532505028 is 820505235.

It is a junction number, because it is equal to n+sod(n) for n = 532504986 and 532505004.

It is not an unprimeable number, because it can be changed into a prime (532505021) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 372451 + ... + 373877.

It is an arithmetic number, because the mean of its divisors is an integer number (19055708).

Almost surely, 2532505028 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 532505028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686005488).

532505028 is an abundant number, since it is smaller than the sum of its proper divisors (839505948).

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

532505028 is a wasteful number, since it uses less digits than its factorization.

532505028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1713 (or 1700 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 532505028 is about 23076.0704627109. The cubic root of 532505028 is about 810.5402218524.

The spelling of 532505028 in words is "five hundred thirty-two million, five hundred five thousand, twenty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 257 363 484 514 726 771 1028 1427 1452 1542 2827 2854 3084 4281 5654 5708 8481 8562 11308 15697 16962 17124 31097 31394 33924 47091 62194 62788 93291 94182 124388 172667 186582 188364 345334 366739 373164 518001 690668 733478 1036002 1100217 1466956 2072004 2200434 4034129 4400868 8068258 12102387 16136516 24204774 44375419 48409548 88750838 133126257 177501676 266252514 532505028