Search a number
-
+
494518080 = 2635773589
BaseRepresentation
bin11101011110011…
…011111101000000
31021110112010021110
4131132123331000
52003044034310
6121023123320
715153222450
oct3536337500
91243463243
10494518080
11234162831
12119743540
137b5b5b64
1449969d60
152d633d20
hex1d79bf40

494518080 has 112 divisors (see below), whose sum is σ = 1794418560. Its totient is φ = 113031168.

The previous prime is 494518051. The next prime is 494518099. The reversal of 494518080 is 80815494.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 30075 + ... + 43514.

Almost surely, 2494518080 is an apocalyptic number.

494518080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

494518080 is an abundant number, since it is smaller than the sum of its proper divisors (1299900480).

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

494518080 is a wasteful number, since it uses less digits than its factorization.

494518080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73616 (or 73606 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 494518080 is about 22237.7624773717. The cubic root of 494518080 is about 790.7891915917.

The spelling of 494518080 in words is "four hundred ninety-four million, five hundred eighteen thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 73589 147178 220767 294356 367945 441534 515123 588712 735890 883068 1030246 1103835 1177424 1471780 1545369 1766136 2060492 2207670 2354848 2575615 2943560 3090738 3532272 4120984 4415340 4709696 5151230 5887120 6181476 7064544 7726845 8241968 8830680 10302460 11774240 12362952 14129088 15453690 16483936 17661360 20604920 23548480 24725904 30907380 32967872 35322720 41209840 49451808 61814760 70645440 82419680 98903616 123629520 164839360 247259040 494518080