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490471605 = 34513194903
BaseRepresentation
bin11101001111000…
…000000010110101
31021011220112120000
4131033000002311
52001030042410
6120400301513
715103640241
oct3517000265
91234815500
10490471605
11231949638
12118311899
137a7ca0b0
14491d5421
152d0d4dc0
hex1d3c00b5

490471605 has 80 divisors (see below), whose sum is σ = 996885120. Its totient is φ = 228707712.

The previous prime is 490471603. The next prime is 490471609. The reversal of 490471605 is 506174094.

490471605 is a `hidden beast` number, since 4 + 9 + 0 + 47 + 1 + 605 = 666.

It is not a de Polignac number, because 490471605 - 21 = 490471603 is a prime.

It is a super-2 number, since 2×4904716052 = 481124790622552050, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 490471605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490471601) 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 79 ways as a sum of consecutive naturals, for example, 97584 + ... + 102486.

It is an arithmetic number, because the mean of its divisors is an integer number (12461064).

Almost surely, 2490471605 is an apocalyptic number.

490471605 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

490471605 is an abundant number, since it is smaller than the sum of its proper divisors (506413515).

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

490471605 is a wasteful number, since it uses less digits than its factorization.

490471605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4952 (or 4943 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 490471605 is about 22146.5935303830. The cubic root of 490471605 is about 788.6263609873.

The spelling of 490471605 in words is "four hundred ninety million, four hundred seventy-one thousand, six hundred five".

Divisors: 1 3 5 9 13 15 19 27 39 45 57 65 81 95 117 135 171 195 247 285 351 405 513 585 741 855 1053 1235 1539 1755 2223 2565 3705 4903 5265 6669 7695 11115 14709 20007 24515 33345 44127 63739 73545 93157 100035 132381 191217 220635 279471 318695 397143 465785 573651 661905 838413 956085 1211041 1397355 1720953 1985715 2515239 2868255 3633123 4192065 5162859 6055205 7545717 8604765 10899369 12576195 18165615 25814295 32698107 37728585 54496845 98094321 163490535 490471605