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497359440 = 2434576753
BaseRepresentation
bin11101101001010…
…001101001010000
31021122212110220000
4131221101221100
52004311000230
6121204050000
715216325344
oct3551215120
91248773800
10497359440
11235823566
1211a693900
137c06c236
144a0a9624
152d9e5b60
hex1da51a50

497359440 has 100 divisors (see below), whose sum is σ = 1727425524. Its totient is φ = 132627456.

The previous prime is 497359427. The next prime is 497359441. The reversal of 497359440 is 44953794.

It is a happy number.

497359440 is a `hidden beast` number, since 497 + 35 + 94 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 70358544 + 427000896 = 8388^2 + 20664^2 .

It is a super-2 number, since 2×4973594402 = 494732825114227200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (497359441) 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 19 ways as a sum of consecutive naturals, for example, 31897 + ... + 44856.

Almost surely, 2497359440 is an apocalyptic number.

497359440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

497359440 is an abundant number, since it is smaller than the sum of its proper divisors (1230066084).

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

497359440 is a wasteful number, since it uses less digits than its factorization.

497359440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76778 (or 76763 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 497359440 is about 22301.5568963245. The cubic root of 497359440 is about 792.3008498917.

The spelling of 497359440 in words is "four hundred ninety-seven million, three hundred fifty-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 76753 153506 230259 307012 383765 460518 614024 690777 767530 921036 1151295 1228048 1381554 1535060 1842072 2072331 2302590 2763108 3070120 3453885 3684144 4144662 4605180 5526216 6140240 6216993 6907770 8289324 9210360 10361655 11052432 12433986 13815540 16578648 18420720 20723310 24867972 27631080 31084965 33157296 41446620 49735944 55262160 62169930 82893240 99471888 124339860 165786480 248679720 497359440