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494952280 = 2351719291321
BaseRepresentation
bin11101100000000…
…101111101011000
31021111100011212221
4131200011331120
52003201433110
6121040313424
715160011364
oct3540057530
91244304787
10494952280
11234429a79
12119912874
137b708694
1449a402a4
152d6bc7da
hex1d805f58

494952280 has 128 divisors (see below), whose sum is σ = 1284984000. Its totient is φ = 170311680.

The previous prime is 494952277. The next prime is 494952281. The reversal of 494952280 is 82259494.

It is a happy number.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (494952281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 374020 + ... + 375340.

Almost surely, 2494952280 is an apocalyptic number.

494952280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 494952280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642492000).

494952280 is an abundant number, since it is smaller than the sum of its proper divisors (790031720).

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

494952280 is a wasteful number, since it uses less digits than its factorization.

494952280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1397 (or 1393 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The square root of 494952280 is about 22247.5230081913. The cubic root of 494952280 is about 791.0205685198.

The spelling of 494952280 in words is "four hundred ninety-four million, nine hundred fifty-two thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 17 19 20 29 34 38 40 58 68 76 85 95 116 136 145 152 170 190 232 290 323 340 380 493 551 580 646 680 760 986 1102 1160 1292 1321 1615 1972 2204 2465 2584 2642 2755 3230 3944 4408 4930 5284 5510 6460 6605 9367 9860 10568 11020 12920 13210 18734 19720 22040 22457 25099 26420 37468 38309 44914 46835 50198 52840 74936 76618 89828 93670 100396 112285 125495 153236 179656 187340 191545 200792 224570 250990 306472 374680 383090 426683 449140 501980 651253 727871 766180 853366 898280 1003960 1302506 1455742 1532360 1706732 2133415 2605012 2911484 3256265 3413464 3639355 4266830 5210024 5822968 6512530 7278710 8533660 12373807 13025060 14557420 17067320 24747614 26050120 29114840 49495228 61869035 98990456 123738070 247476140 494952280