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531329250 = 23533741467
BaseRepresentation
bin11111101010110…
…111000011100010
31101000210022201010
4133222313003202
52042010014000
6124420121350
716111136604
oct3752670342
91330708633
10531329250
11252a15591
12129b36256
138610410a
14507cd174
15319a5d50
hex1fab70e2

531329250 has 128 divisors (see below), whose sum is σ = 1398249216. Its totient is φ = 134208000.

The previous prime is 531329221. The next prime is 531329257. The reversal of 531329250 is 52923135.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (531329257) 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 63 ways as a sum of consecutive naturals, for example, 1137517 + ... + 1137983.

It is an arithmetic number, because the mean of its divisors is an integer number (10923822).

Almost surely, 2531329250 is an apocalyptic number.

531329250 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 531329250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699124608).

531329250 is an abundant number, since it is smaller than the sum of its proper divisors (866919966).

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

531329250 is a wasteful number, since it uses less digits than its factorization.

531329250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

The square root of 531329250 is about 23050.5802530001. The cubic root of 531329250 is about 809.9432211382.

The spelling of 531329250 in words is "five hundred thirty-one million, three hundred twenty-nine thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 37 41 50 74 75 82 111 123 125 150 185 205 222 246 250 370 375 410 467 555 615 750 925 934 1025 1110 1230 1401 1517 1850 2050 2335 2775 2802 3034 3075 4551 4625 4670 5125 5550 6150 7005 7585 9102 9250 10250 11675 13875 14010 15170 15375 17279 19147 22755 23350 27750 30750 34558 35025 37925 38294 45510 51837 57441 58375 70050 75850 86395 95735 103674 113775 114882 116750 172790 175125 189625 191470 227550 259185 287205 350250 379250 431975 478675 518370 568875 574410 708439 863950 957350 1137750 1295925 1416878 1436025 2125317 2159875 2393375 2591850 2872050 3542195 4250634 4319750 4786750 6479625 7084390 7180125 10626585 12959250 14360250 17710975 21253170 35421950 53132925 88554875 106265850 177109750 265664625 531329250