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490215000 = 23354112971
BaseRepresentation
bin11101001110000…
…001011001011000
31021011102111120010
4131032001121120
52000443340000
6120351001520
715101521152
oct3516013130
91234374503
10490215000
11231793870
121182092a0
137a73a362
1449169ad2
152d083d50
hex1d381658

490215000 has 160 divisors (see below), whose sum is σ = 1671215040. Its totient is φ = 118800000.

The previous prime is 490214999. The next prime is 490215017. The reversal of 490215000 is 512094.

It is a congruent number.

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, 163515 + ... + 166485.

It is an arithmetic number, because the mean of its divisors is an integer number (10445094).

Almost surely, 2490215000 is an apocalyptic number.

490215000 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 490215000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835607520).

490215000 is an abundant number, since it is smaller than the sum of its proper divisors (1181000040).

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

490215000 is a wasteful number, since it uses less digits than its factorization.

490215000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3011 (or 2992 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 490215000 is about 22140.7994435612. The cubic root of 490215000 is about 788.4888057807.

Adding to 490215000 its reverse (512094), we get a palindrome (490727094).

The spelling of 490215000 in words is "four hundred ninety million, two hundred fifteen thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 125 132 150 165 200 220 250 264 275 300 330 375 440 500 550 600 625 660 750 825 1000 1100 1250 1320 1375 1500 1650 1875 2200 2500 2750 2971 3000 3300 3750 4125 5000 5500 5942 6600 6875 7500 8250 8913 11000 11884 13750 14855 15000 16500 17826 20625 23768 27500 29710 32681 33000 35652 41250 44565 55000 59420 65362 71304 74275 82500 89130 98043 118840 130724 148550 163405 165000 178260 196086 222825 261448 297100 326810 356520 371375 392172 445650 490215 594200 653620 742750 784344 817025 891300 980430 1114125 1307240 1485500 1634050 1782600 1856875 1960860 2228250 2451075 2971000 3268100 3713750 3921720 4085125 4456500 4902150 5570625 6536200 7427500 8170250 8913000 9804300 11141250 12255375 14855000 16340500 19608600 20425625 22282500 24510750 32681000 40851250 44565000 49021500 61276875 81702500 98043000 122553750 163405000 245107500 490215000