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497085000 = 23354311069
BaseRepresentation
bin11101101000001…
…110101001001000
31021122100112102120
4131220032221020
52004223210000
6121154131240
715214103256
oct3550165110
91248315376
10497085000
11235656355
1211a580b20
137bca4349
144a0375d6
152d98e6a0
hex1da0ea48

497085000 has 160 divisors (see below), whose sum is σ = 1604486400. Its totient is φ = 128160000.

The previous prime is 497084999. The next prime is 497085041. The reversal of 497085000 is 580794.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 464466 + ... + 465534.

It is an arithmetic number, because the mean of its divisors is an integer number (10028040).

Almost surely, 2497085000 is an apocalyptic number.

497085000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 497085000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802243200).

497085000 is an abundant number, since it is smaller than the sum of its proper divisors (1107401400).

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

497085000 is a wasteful number, since it uses less digits than its factorization.

497085000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 497085000 is about 22295.4031136465. The cubic root of 497085000 is about 792.1550941037.

The spelling of 497085000 in words is "four hundred ninety-seven million, eighty-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 31 40 50 60 62 75 93 100 120 124 125 150 155 186 200 248 250 300 310 372 375 465 500 600 620 625 744 750 775 930 1000 1069 1240 1250 1500 1550 1860 1875 2138 2325 2500 3000 3100 3207 3720 3750 3875 4276 4650 5000 5345 6200 6414 7500 7750 8552 9300 10690 11625 12828 15000 15500 16035 18600 19375 21380 23250 25656 26725 31000 32070 33139 38750 42760 46500 53450 58125 64140 66278 77500 80175 93000 99417 106900 116250 128280 132556 133625 155000 160350 165695 198834 213800 232500 265112 267250 320700 331390 397668 400875 465000 497085 534500 641400 662780 668125 795336 801750 828475 994170 1069000 1325560 1336250 1603500 1656950 1988340 2004375 2485425 2672500 3207000 3313900 3976680 4008750 4142375 4970850 5345000 6627800 8017500 8284750 9941700 12427125 16035000 16569500 19883400 20711875 24854250 33139000 41423750 49708500 62135625 82847500 99417000 124271250 165695000 248542500 497085000