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504042552 = 2332133491543
BaseRepresentation
bin11110000010110…
…001010000111000
31022010110000101200
4132002301100320
52013013330202
6122003214200
715330201546
oct3602612070
91263400350
10504042552
112395786a2
12120977360
138056c140
144ad28d96
152e3b5e1c
hex1e0b1438

504042552 has 96 divisors (see below), whose sum is σ = 1475292000. Its totient is φ = 154545408.

The previous prime is 504042529. The next prime is 504042557. The reversal of 504042552 is 255240405.

504042552 is a `hidden beast` number, since 5 + 0 + 404 + 255 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504042557) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 325893 + ... + 327435.

It is an arithmetic number, because the mean of its divisors is an integer number (15367625).

Almost surely, 2504042552 is an apocalyptic number.

504042552 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 504042552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737646000).

504042552 is an abundant number, since it is smaller than the sum of its proper divisors (971249448).

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

504042552 is a wasteful number, since it uses less digits than its factorization.

504042552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1917 (or 1910 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 504042552 is about 22450.8920090049. The cubic root of 504042552 is about 795.8338373567.

Adding to 504042552 its reverse (255240405), we get a palindrome (759282957).

The spelling of 504042552 in words is "five hundred four million, forty-two thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 349 468 698 936 1047 1396 1543 2094 2792 3086 3141 4188 4537 4629 6172 6282 8376 9074 9258 12344 12564 13611 13887 18148 18516 20059 25128 27222 27774 36296 37032 40118 40833 54444 55548 60177 80236 81666 108888 111096 120354 160472 163332 180531 240708 326664 361062 481416 538507 722124 1077014 1444248 1615521 2154028 3231042 4308056 4846563 6462084 7000591 9693126 12924168 14001182 19386252 21001773 28002364 38772504 42003546 56004728 63005319 84007092 126010638 168014184 252021276 504042552