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493287424 = 2117191811
BaseRepresentation
bin11101011001101…
…111100000000000
31021101012121010121
4131121233200000
52002240144144
6120540510024
715136605520
oct3531574000
91241177117
10493287424
112334a2163
1211924b314
137b274966
1449729680
152d48e384
hex1d66f800

493287424 has 96 divisors (see below), whose sum is σ = 1187222400. Its totient is φ = 200171520.

The previous prime is 493287383. The next prime is 493287427. The reversal of 493287424 is 424782394.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493287427) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 271479 + ... + 273289.

It is an arithmetic number, because the mean of its divisors is an integer number (12366900).

Almost surely, 2493287424 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 493287424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593611200).

493287424 is an abundant number, since it is smaller than the sum of its proper divisors (693934976).

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

493287424 is a wasteful number, since it uses less digits than its factorization.

493287424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1859 (or 1839 counting only the distinct ones).

The product of its digits is 387072, while the sum is 43.

The square root of 493287424 is about 22210.0748310311. The cubic root of 493287424 is about 790.1326615862.

The spelling of 493287424 in words is "four hundred ninety-three million, two hundred eighty-seven thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 256 266 304 448 512 532 608 896 1024 1064 1216 1792 1811 2048 2128 2432 3584 3622 4256 4864 7168 7244 8512 9728 12677 14336 14488 17024 19456 25354 28976 34048 34409 38912 50708 57952 68096 68818 101416 115904 136192 137636 202832 231808 240863 272384 275272 405664 463616 481726 550544 811328 927232 963452 1101088 1622656 1854464 1926904 2202176 3245312 3708928 3853808 4404352 6490624 7707616 8808704 12981248 15415232 17617408 25962496 30830464 35234816 61660928 70469632 123321856 246643712 493287424