Search a number
-
+
494338560 = 2935191337
BaseRepresentation
bin11101011101110…
…000001000000000
31021110012000000120
4131131300020000
52003022313220
6121015220240
715151544202
oct3535601000
91243160016
10494338560
1123404a971
12119677680
137b552231
1449920772
152d5eaa40
hex1d770200

494338560 has 160 divisors (see below), whose sum is σ = 1593326592. Its totient is φ = 130744320.

The previous prime is 494338519. The next prime is 494338573. The reversal of 494338560 is 65833494.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×4943385602 = 488741223805747200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1466712 + ... + 1467048.

Almost surely, 2494338560 is an apocalyptic number.

494338560 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 494338560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796663296).

494338560 is an abundant number, since it is smaller than the sum of its proper divisors (1098988032).

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

494338560 is a wasteful number, since it uses less digits than its factorization.

494338560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The square root of 494338560 is about 22233.7257336687. The cubic root of 494338560 is about 790.6934892212.

The spelling of 494338560 in words is "four hundred ninety-four million, three hundred thirty-eight thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 191 192 240 256 320 337 382 384 480 512 573 640 674 764 768 955 960 1011 1146 1280 1348 1528 1536 1685 1910 1920 2022 2292 2560 2696 2865 3056 3370 3820 3840 4044 4584 5055 5392 5730 6112 6740 7640 7680 8088 9168 10110 10784 11460 12224 13480 15280 16176 18336 20220 21568 22920 24448 26960 30560 32352 36672 40440 43136 45840 48896 53920 61120 64367 64704 73344 80880 86272 91680 97792 107840 122240 128734 129408 146688 161760 172544 183360 193101 215680 244480 257468 258816 293376 321835 323520 366720 386202 431360 488960 514936 517632 643670 647040 733440 772404 862720 965505 1029872 1287340 1294080 1466880 1544808 1931010 2059744 2574680 2588160 3089616 3862020 4119488 5149360 6179232 7724040 8238976 10298720 12358464 15448080 16477952 20597440 24716928 30896160 32955904 41194880 49433856 61792320 82389760 98867712 123584640 164779520 247169280 494338560