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538392528 = 24333493571
BaseRepresentation
bin100000000101110…
…011011111010000
31101112002011201000
4200011303133100
52100312030103
6125231342000
716225155342
oct4005633720
91345064630
10538392528
112569aa303
12130381900
138770807b
145170b292
15323edaa3
hex201737d0

538392528 has 80 divisors (see below), whose sum is σ = 1550248000. Its totient is φ = 178899840.

The previous prime is 538392521. The next prime is 538392539. The reversal of 538392528 is 825293835.

538392528 is a `hidden beast` number, since 5 + 38 + 3 + 92 + 528 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (538392521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148983 + ... + 152553.

It is an arithmetic number, because the mean of its divisors is an integer number (19378100).

Almost surely, 2538392528 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 538392528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775124000).

538392528 is an abundant number, since it is smaller than the sum of its proper divisors (1011855472).

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

538392528 is a wasteful number, since it uses less digits than its factorization.

538392528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3937 (or 3925 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 538392528 is about 23203.2870085253. The cubic root of 538392528 is about 813.5164540347.

The spelling of 538392528 in words is "five hundred thirty-eight million, three hundred ninety-two thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 349 432 698 1047 1396 2094 2792 3141 3571 4188 5584 6282 7142 8376 9423 10713 12564 14284 16752 18846 21426 25128 28568 32139 37692 42852 50256 57136 64278 75384 85704 96417 128556 150768 171408 192834 257112 385668 514224 771336 1246279 1542672 2492558 3738837 4985116 7477674 9970232 11216511 14955348 19940464 22433022 29910696 33649533 44866044 59821392 67299066 89732088 134598132 179464176 269196264 538392528