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494083584 = 2933103347
BaseRepresentation
bin11101011100110…
…001111000000000
31021102201001021000
4131130301320000
52002441133314
6121005532000
715146432631
oct3534617000
91242631230
10494083584
11233996345
12119574000
137b493167
1449895888
152d59a209
hex1d731e00

494083584 has 160 divisors (see below), whose sum is σ = 1480976640. Its totient is φ = 162625536.

The previous prime is 494083559. The next prime is 494083621. The reversal of 494083584 is 485380494.

It is a happy number.

494083584 is a `hidden beast` number, since 494 + 0 + 83 + 5 + 84 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 15 ways as a sum of consecutive naturals, for example, 1423699 + ... + 1424045.

It is an arithmetic number, because the mean of its divisors is an integer number (9256104).

Almost surely, 2494083584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 494083584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740488320).

494083584 is an abundant number, since it is smaller than the sum of its proper divisors (986893056).

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

494083584 is a wasteful number, since it uses less digits than its factorization.

494083584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 494083584 is about 22227.9910023376. The cubic root of 494083584 is about 790.5575213158.

The spelling of 494083584 in words is "four hundred ninety-four million, eighty-three thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 103 108 128 144 192 206 216 256 288 309 347 384 412 432 512 576 618 694 768 824 864 927 1041 1152 1236 1388 1536 1648 1728 1854 2082 2304 2472 2776 2781 3123 3296 3456 3708 4164 4608 4944 5552 5562 6246 6592 6912 7416 8328 9369 9888 11104 11124 12492 13184 13824 14832 16656 18738 19776 22208 22248 24984 26368 29664 33312 35741 37476 39552 44416 44496 49968 52736 59328 66624 71482 74952 79104 88832 88992 99936 107223 118656 133248 142964 149904 158208 177664 177984 199872 214446 237312 266496 285928 299808 321669 355968 399744 428892 474624 532992 571856 599616 643338 711936 799488 857784 965007 1143712 1199232 1286676 1423872 1598976 1715568 1930014 2287424 2398464 2573352 3431136 3860028 4574848 4796928 5146704 6862272 7720056 9149696 10293408 13724544 15440112 18299392 20586816 27449088 30880224 41173632 54898176 61760448 82347264 123520896 164694528 247041792 494083584