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504250340 = 2251131107691
BaseRepresentation
bin11110000011100…
…011111111100100
31022010211120102112
4132003203333210
52013042002330
6122011500152
715332025416
oct3603437744
91263746375
10504250340
112396aa820
12120a57658
13806128a9
144ad809b6
152e407795
hex1e0e3fe4

504250340 has 96 divisors (see below), whose sum is σ = 1205342208. Its totient is φ = 175536000.

The previous prime is 504250333. The next prime is 504250361. The reversal of 504250340 is 43052405.

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 31 ways as a sum of consecutive naturals, for example, 729395 + ... + 730085.

It is an arithmetic number, because the mean of its divisors is an integer number (12555648).

Almost surely, 2504250340 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 504250340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602671104).

504250340 is an abundant number, since it is smaller than the sum of its proper divisors (701091868).

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

504250340 is a wasteful number, since it uses less digits than its factorization.

504250340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 23.

The square root of 504250340 is about 22455.5191434088. The cubic root of 504250340 is about 795.9431813016.

The spelling of 504250340 in words is "five hundred four million, two hundred fifty thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 107 110 124 155 214 220 310 341 428 535 620 682 691 1070 1177 1364 1382 1705 2140 2354 2764 3317 3410 3455 4708 5885 6634 6820 6910 7601 11770 13268 13820 15202 16585 21421 23540 30404 33170 36487 38005 42842 66340 72974 73937 76010 85684 107105 145948 147874 152020 182435 214210 235631 295748 364870 369685 428420 471262 729740 739370 813307 942524 1178155 1478740 1626614 2292047 2356310 3253228 4066535 4584094 4712620 8133070 9168188 11460235 16266140 22920470 25212517 45840940 50425034 100850068 126062585 252125170 504250340