Search a number
-
+
493952368 = 247133753173
BaseRepresentation
bin11101011100010…
…001110101110000
31021102110101021011
4131130101311300
52002422433433
6121003040304
715145345240
oct3534216560
91242411234
10493952368
112339067a8
12119510094
137b448510
144985db20
152d5713cd
hex1d711d70

493952368 has 160 divisors (see below), whose sum is σ = 1239670656. Its totient is φ = 185462784.

The previous prime is 493952353. The next prime is 493952387. The reversal of 493952368 is 863259394.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2855130 + ... + 2855302.

Almost surely, 2493952368 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 493952368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619835328).

493952368 is an abundant number, since it is smaller than the sum of its proper divisors (745718288).

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

493952368 is a wasteful number, since it uses less digits than its factorization.

493952368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 285 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 49.

The square root of 493952368 is about 22225.0392125638. The cubic root of 493952368 is about 790.4875311472.

The spelling of 493952368 in words is "four hundred ninety-three million, nine hundred fifty-two thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 37 52 53 56 74 91 104 106 112 148 173 182 208 212 259 296 346 364 371 424 481 518 592 689 692 728 742 848 962 1036 1211 1378 1384 1456 1484 1924 1961 2072 2249 2422 2756 2768 2968 3367 3848 3922 4144 4498 4823 4844 5512 5936 6401 6734 7696 7844 8996 9169 9646 9688 11024 12802 13468 13727 15688 15743 17992 18338 19292 19376 25493 25604 26936 27454 31376 31486 35984 36676 38584 44807 50986 51208 53872 54908 62972 64183 73352 77168 83213 89614 101972 102416 109816 119197 125944 128366 146704 166426 178451 179228 203944 219632 238394 251888 256732 332852 339253 356902 358456 407888 476788 513464 582491 665704 678506 713804 716912 834379 953576 1026928 1164982 1331408 1357012 1427608 1668758 1907152 2329964 2374771 2714024 2855216 3337516 4410289 4659928 4749542 5428048 6675032 8820578 9319856 9499084 13350064 17641156 18998168 30872023 35282312 37996336 61744046 70564624 123488092 246976184 493952368