Numbers 490,000,000s

A page of the Numeropedia - the Special Encyclopedia of Numbers

410,000,000420,000,000430,000,000  – 440,000,000

450,000,000460,000,000470,000,000480,000,000 –  490,000,000

[1M] & [10M] & [100M- [200M] - [300M] - [400M] - [500M] - [600M] - [700M] - [800M] - [900M]  & [1B]

1  - 10 - 100  - 1000 - 10,000 - 100,000 - 1M - 10M - 100M1B10B - 100B - 1T - 10T - 100T - 1Q ...

490,844,025

[Math.]  Sum of the first 210 cube numbers:

13+23+…+2103 = 490,844,025 = (1+2+…+210)2 = 22,1552.

491,730,625

[Math.]  221752 = 491,730,625, a square using all 9 digits 0-9 once, except digit 8.

492,260,965

[Math.]  Two consecutive sums of consecutive square numbers:

492,260,965 = 34032+…+34442 = 34452+…+34852.

493,271,605

[Math.]  Number 098,654,321 misses one digit 7 in 10 digits 0-9:

098,654,321´2 = 197,308,642 misses one digit 5 (modulo 9)

098,654,321´5 = 493,271,605 misses one digit 8 (modulo 9).

493,817,284

[Math.]  493,817,284 = (4938+17284)2 = 222222.

493,821,605

[Math.]  Number 098,764,321 misses one digit 5 in 10 digits 0-9:

98,764,321´5 = 493,821,605 misses one digit 7 (modulo 9)

98,764,321´7 = 691,350,247 misses one digit 8 (modulo 9).

493,827,105

[Math.]  Number 98,765,421 misses one digit 3 in 10 digits 0-9:

98,765,421´2 = 197,530,842 misses one digit 6 (modulo 9)

98,765,421´5 = 493,827,105 misses one digit 6 (modulo 9).

493,827,156

[Math.]  Numbers 123,456,789 and its multiples:

123,456,789×2 = 246,913,578, 123,456,789×4 = 493,827,156,

123,456,789×5 = 617,283,945, 123,456,789×7 = 864,197,523 and

123,456,789×8 = 987,654,312 are all zero-less pan-digital numbers.  Hence, there are zero-less pan-digital number equalities:

123,456,789´493,827,156 = 246,913,5782

246,913,578´987,654,312 = 493,827,1562.

Also, multiples of 123,456,789 with some numbers from 10 to 80, give pan-digital numbers.

493,827,160

[Math.]  Number 098,765,432 misses one digit 1 in 10 digits 0-9:

098,765,432´2 = 197,530,864 misses one digit 2 (modulo 9)

098,765,432´4 = 395,061,728 misses one digit 4 (modulo 9)

098,765,432´5 = 493,827,160 misses one digit 5 (modulo 9)

098,765,432´7 = 691,358,024 misses one digit 7 (modulo 9)

098,765,432´8 = 790,123,456 misses one digit 8 (modulo 9)

and 098,765,432×9 = 888,888,888.

493,827,160

[Math.]  Multiples of 012345679 by 4, 13, 22, 31, 40, 49, 58, 67 and 76 will yield all 9 rotations of 049382716: 049382716, 160493827, 271604938, 382716049, 493827160, 604938271, 716049382, 827160493 and 938271604. All numbers are missing digit 5.

499,999,995

[Math.]  (Sequence of numbers 49…9…95, with an odd number of digits 9).

4999999952 = 249999995000000025 = (2–4+9–9+9–9+9–9+500000002–5)2.

499,999,997 & 499,999,999

[Math.]

94 = 47×2 and, reversely, 49 = 47+2

994 = 497×2 and, reversely, 499 = 497+2

9994 = 4997×2 and, reversely, 4999 = 4997+2

...

99999994 =  49999997×2 and, reversely, 49999999 = 49999997+2

999999994 =  499999997×2 and, reversely, 499999999 = 499999997+2

...

499,999,999

[Math.]  Its odd powers end with 499,999,999. Its even powers end with 000,000,001.

xyz,abc,def

[Math.]  For any xyz = 100 to 999, there are always six 6-digit numbers abc,edf such that the sum (xyz+abc,def) is equal to one of 6 digit-rotations of 142,857 and the number  xyz,abc,def is a multiple of 142,857.

For any xyz = 100 to 999, there are always twelve 6-digit numbers abc,edf such that the sum (xyz+abc,def) is equal to one of 12 digit-rotations of 076,923 or 153,846 and the number xyz,abc,def is a multiple of 76,923.