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494706564 = 22321123372
BaseRepresentation
bin11101011111001…
…001111110000100
31021110212200211100
4131133021332010
52003121102224
6121031140100
715154636122
oct3537117604
91243780740
10494706564
11234281400
12119814630
137b6508a1
14499b8912
152d66eac9
hex1d7c9f84

494706564 has 81 divisors (see below), whose sum is σ = 1378616421. Its totient is φ = 149466240.

The previous prime is 494706547. The next prime is 494706571. The reversal of 494706564 is 465607494.

The square root of 494706564 is 22242.

It is a perfect power (a square), and thus also a powerful number.

494706564 is a `hidden beast` number, since 49 + 47 + 0 + 6 + 564 = 666.

It can be written as a sum of positive squares in only one way, i.e., 133402500 + 361304064 = 11550^2 + 19008^2 .

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 26 ways as a sum of consecutive naturals, for example, 1467804 + ... + 1468140.

Almost surely, 2494706564 is an apocalyptic number.

494706564 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

494706564 is the 22242-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 494706564

494706564 is an abundant number, since it is smaller than the sum of its proper divisors (883909857).

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

494706564 is a wasteful number, since it uses less digits than its factorization.

494706564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The cubic root of 494706564 is about 790.8896477619.

The spelling of 494706564 in words is "four hundred ninety-four million, seven hundred six thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 337 363 396 484 674 726 1011 1089 1348 1452 2022 2178 3033 3707 4044 4356 6066 7414 11121 12132 14828 22242 33363 40777 44484 66726 81554 113569 122331 133452 163108 227138 244662 340707 366993 454276 489324 681414 733986 1022121 1249259 1362828 1467972 2044242 2498518 3747777 4088484 4997036 7495554 11243331 13741849 14991108 22486662 27483698 41225547 44973324 54967396 82451094 123676641 164902188 247353282 494706564