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490238028900 = 223252233392
BaseRepresentation
bin1110010001001000111…
…01101010110001100100
31201212101112100012101100
413020210131222301210
531013001413411100
61013113502200100
750263361330244
oct7104435526144
91655345305340
10490238028900
111799aa650094
127b017883030
13372c9871209
1419a28941b24
15cb43ae2400
hex722476ac64

490238028900 has 81 divisors (see below), whose sum is σ = 1536689708281. Its totient is φ = 130724539680.

The previous prime is 490238028881. The next prime is 490238028949. The reversal of 490238028900 is 9820832094.

The square root of 490238028900 is 700170.

It is a perfect power (a square), and thus also a powerful number.

490238028900 is a `hidden beast` number, since 490 + 2 + 3 + 80 + 2 + 89 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 176485690404 + 313752338496 = 420102^2 + 560136^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20993431 + ... + 21016769.

Almost surely, 2490238028900 is an apocalyptic number.

490238028900 is the 700170-th square number.

It is an amenable number.

490238028900 is an abundant number, since it is smaller than the sum of its proper divisors (1046451679381).

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

490238028900 is an equidigital number, since it uses as much as digits as its factorization.

490238028900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46698 (or 23349 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 490238028900 in words is "four hundred ninety billion, two hundred thirty-eight million, twenty-eight thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 23339 46678 70017 93356 116695 140034 210051 233390 280068 350085 420102 466780 583475 700170 840204 1050255 1166950 1400340 1750425 2100510 2333900 3500850 4201020 5251275 7001700 10502550 21005100 544708921 1089417842 1634126763 2178835684 2723544605 3268253526 4902380289 5447089210 6536507052 8170633815 9804760578 10894178420 13617723025 16341267630 19609521156 24511901445 27235446050 32682535260 40853169075 49023802890 54470892100 81706338150 98047605780 122559507225 163412676300 245119014450 490238028900