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490765275 = 3252711132179
BaseRepresentation
bin11101010000000…
…111101111011011
31021012110110101200
4131100013233123
52001113442100
6120410445243
715106302360
oct3520075733
91235413350
10490765275
1123202a240
12118433823
137a8a0970
1449270467
152d141e00
hex1d407bdb

490765275 has 144 divisors (see below), whose sum is σ = 1180757760. Its totient is φ = 188179200.

The previous prime is 490765273. The next prime is 490765291. The reversal of 490765275 is 572567094.

It is not a de Polignac number, because 490765275 - 21 = 490765273 is a prime.

It is a super-3 number, since 3×4907652753 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 490765275.

It is not an unprimeable number, because it can be changed into a prime (490765273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 224136 + ... + 226314.

Almost surely, 2490765275 is an apocalyptic number.

490765275 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

490765275 is an abundant number, since it is smaller than the sum of its proper divisors (689992485).

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

490765275 is a wasteful number, since it uses less digits than its factorization.

490765275 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2226 (or 2218 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The square root of 490765275 is about 22153.2226775248. Note that the first 3 decimals coincide. The cubic root of 490765275 is about 788.7837263296.

The spelling of 490765275 in words is "four hundred ninety million, seven hundred sixty-five thousand, two hundred seventy-five".

Divisors: 1 3 5 7 9 11 13 15 21 25 33 35 39 45 55 63 65 75 77 91 99 105 117 143 165 175 195 225 231 273 275 315 325 385 429 455 495 525 585 693 715 819 825 975 1001 1155 1287 1365 1575 1925 2145 2179 2275 2475 2925 3003 3465 3575 4095 5005 5775 6435 6537 6825 9009 10725 10895 15015 15253 17325 19611 20475 23969 25025 28327 32175 32685 45045 45759 54475 71907 75075 76265 84981 98055 119845 137277 141635 163425 167783 198289 215721 225225 228795 254943 311597 359535 381325 424905 490275 503349 594867 599225 686385 708175 838915 934791 991445 1078605 1143975 1274715 1510047 1557985 1784601 1797675 2124525 2181179 2516745 2804373 2974335 3431925 4194575 4673955 4957225 5393025 6373575 6543537 7550235 7789925 8923005 10905895 12583725 14021865 14871675 19630611 23369775 32717685 37751175 44615025 54529475 70109325 98153055 163588425 490765275