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499721664 = 263131711777
BaseRepresentation
bin11101110010010…
…010010111000000
31021211022111020210
4131302102113000
52010412043124
6121330434120
715245364321
oct3562222700
91254274223
10499721664
11237097312
1211b432940
137c6b84c0
144a522448
152dd10a29
hex1dc925c0

499721664 has 112 divisors (see below), whose sum is σ = 1507772448. Its totient is φ = 144703488.

The previous prime is 499721609. The next prime is 499721671. The reversal of 499721664 is 466127994.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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, 36544 + ... + 48320.

It is an arithmetic number, because the mean of its divisors is an integer number (13462254).

Almost surely, 2499721664 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 499721664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753886224).

499721664 is an abundant number, since it is smaller than the sum of its proper divisors (1008050784).

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

499721664 is a wasteful number, since it uses less digits than its factorization.

499721664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11822 (or 11812 counting only the distinct ones).

The product of its digits is 653184, while the sum is 48.

The square root of 499721664 is about 22354.4551264396. The cubic root of 499721664 is about 793.5532216943.

The spelling of 499721664 in words is "four hundred ninety-nine million, seven hundred twenty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 64 68 78 96 102 104 136 156 192 204 208 221 272 312 408 416 442 544 624 663 816 832 884 1088 1248 1326 1632 1768 2496 2652 3264 3536 5304 7072 10608 11777 14144 21216 23554 35331 42432 47108 70662 94216 141324 153101 188432 200209 282648 306202 376864 400418 459303 565296 600627 612404 753728 800836 918606 1130592 1201254 1224808 1601672 1837212 2261184 2402508 2449616 2602717 3203344 3674424 4805016 4899232 5205434 6406688 7348848 7808151 9610032 9798464 10410868 12813376 14697696 15616302 19220064 20821736 29395392 31232604 38440128 41643472 62465208 83286944 124930416 166573888 249860832 499721664