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490628940 = 223531267127
BaseRepresentation
bin11101001111100…
…110011101001100
31021012012112101020
4131033212131030
52001100111230
6120403514140
715105164034
oct3517463514
91235175336
10490628940
11231a4686a
12118388950
137a8538a9
14492368c4
152d116810
hex1d3e674c

490628940 has 144 divisors (see below), whose sum is σ = 1452036096. Its totient is φ = 123742080.

The previous prime is 490628927. The next prime is 490628977. The reversal of 490628940 is 49826094.

It is a junction number, because it is equal to n+sod(n) for n = 490628892 and 490628901.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3863157 + ... + 3863283.

It is an arithmetic number, because the mean of its divisors is an integer number (10083584).

Almost surely, 2490628940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 490628940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726018048).

490628940 is an abundant number, since it is smaller than the sum of its proper divisors (961407156).

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

490628940 is a wasteful number, since it uses less digits than its factorization.

490628940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 490628940 is about 22150.1453719835. The cubic root of 490628940 is about 788.7106779740.

The spelling of 490628940 in words is "four hundred ninety million, six hundred twenty-eight thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 67 93 124 127 134 155 186 201 254 268 310 335 372 381 402 465 508 620 635 670 762 804 930 961 1005 1270 1340 1524 1860 1905 1922 2010 2077 2540 2883 3810 3844 3937 4020 4154 4805 5766 6231 7620 7874 8308 8509 9610 10385 11532 11811 12462 14415 15748 17018 19220 19685 20770 23622 24924 25527 28830 31155 34036 39370 41540 42545 47244 51054 57660 59055 62310 64387 78740 85090 102108 118110 122047 124620 127635 128774 170180 193161 236220 244094 255270 257548 263779 321935 366141 386322 488188 510540 527558 610235 643870 732282 772644 791337 965805 1055116 1220470 1287740 1318895 1464564 1582674 1830705 1931610 2440940 2637790 3165348 3661410 3863220 3956685 5275580 7322820 7913370 8177149 15826740 16354298 24531447 32708596 40885745 49062894 81771490 98125788 122657235 163542980 245314470 490628940