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495950460 = 223529594831
BaseRepresentation
bin11101100011111…
…001101001111100
31021120012220010120
4131203321221330
52003430403320
6121113534540
715201336465
oct3543715174
91246186116
10495950460
11234a50a15
1211a114450
137b997b15
1449c1dd6c
152d818440
hex1d8f9a7c

495950460 has 96 divisors (see below), whose sum is σ = 1461196800. Its totient is φ = 125502720.

The previous prime is 495950447. The next prime is 495950509. The reversal of 495950460 is 64059594.

It is a happy number.

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, 100245 + ... + 105075.

It is an arithmetic number, because the mean of its divisors is an integer number (15220800).

Almost surely, 2495950460 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 495950460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730598400).

495950460 is an abundant number, since it is smaller than the sum of its proper divisors (965246340).

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

495950460 is a wasteful number, since it uses less digits than its factorization.

495950460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4931 (or 4929 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The square root of 495950460 is about 22269.9452177144. The cubic root of 495950460 is about 791.5519670330.

The spelling of 495950460 in words is "four hundred ninety-five million, nine hundred fifty thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 59 60 87 116 118 145 174 177 236 290 295 348 354 435 580 590 708 870 885 1180 1711 1740 1770 3422 3540 4831 5133 6844 8555 9662 10266 14493 17110 19324 20532 24155 25665 28986 34220 48310 51330 57972 72465 96620 102660 140099 144930 280198 285029 289860 420297 560396 570058 700495 840594 855087 1140116 1400990 1425145 1681188 1710174 2101485 2801980 2850290 3420348 4202970 4275435 5700580 8265841 8405940 8550870 16531682 17101740 24797523 33063364 41329205 49595046 82658410 99190092 123987615 165316820 247975230 495950460