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508041216 = 2113243641
BaseRepresentation
bin11110010010000…
…001100000000000
31022101222011112100
4132102001200000
52020024304331
6122225030400
715406164504
oct3622014000
91271864470
10508041216
11240859981
12122185400
138133c207
144b68a304
152e905ae6
hex1e481800

508041216 has 144 divisors (see below), whose sum is σ = 1503782280. Its totient is φ = 165150720.

The previous prime is 508041151. The next prime is 508041223. The reversal of 508041216 is 612140805.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 508041216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 792256 + ... + 792896.

Almost surely, 2508041216 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 508041216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751891140).

508041216 is an abundant number, since it is smaller than the sum of its proper divisors (995741064).

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

508041216 is a wasteful number, since it uses less digits than its factorization.

508041216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 508041216 is about 22539.7696527715. The cubic root of 508041216 is about 797.9327962702.

The spelling of 508041216 in words is "five hundred eight million, forty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 64 72 86 96 128 129 144 172 192 256 258 288 344 384 387 512 516 576 641 688 768 774 1024 1032 1152 1282 1376 1536 1548 1923 2048 2064 2304 2564 2752 3072 3096 3846 4128 4608 5128 5504 5769 6144 6192 7692 8256 9216 10256 11008 11538 12384 15384 16512 18432 20512 22016 23076 24768 27563 30768 33024 41024 44032 46152 49536 55126 61536 66048 82048 82689 88064 92304 99072 110252 123072 132096 164096 165378 184608 198144 220504 246144 248067 264192 328192 330756 369216 396288 441008 492288 496134 656384 661512 738432 792576 882016 984576 992268 1312768 1323024 1476864 1764032 1969152 1984536 2646048 2953728 3528064 3938304 3969072 5292096 5907456 7056128 7938144 10584192 11814912 14112256 15876288 21168384 28224512 31752576 42336768 56449024 63505152 84673536 127010304 169347072 254020608 508041216