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494719104 = 27311173677
BaseRepresentation
bin11101011111001…
…101000010000000
31021110220100000210
4131133031002000
52003122002404
6121031314120
715155020515
oct3537150200
91243810023
10494719104
1123428a870
1211981b940
137b6564c9
14499bd30c
152d673689
hex1d7cd080

494719104 has 128 divisors (see below), whose sum is σ = 1443977280. Its totient is φ = 148828160.

The previous prime is 494719103. The next prime is 494719117. The reversal of 494719104 is 401917494.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (494719103) by changing a digit.

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, 730414 + ... + 731090.

Almost surely, 2494719104 is an apocalyptic number.

494719104 is a gapful number since it is divisible by the number (44) 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 494719104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721988640).

494719104 is an abundant number, since it is smaller than the sum of its proper divisors (949258176).

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

494719104 is a wasteful number, since it uses less digits than its factorization.

494719104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 494719104 is about 22242.2818973234. The cubic root of 494719104 is about 790.8963302905.

The spelling of 494719104 in words is "four hundred ninety-four million, seven hundred nineteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 173 176 192 264 346 352 384 519 528 677 692 704 1038 1056 1354 1384 1408 1903 2031 2076 2112 2708 2768 3806 4062 4152 4224 5416 5536 5709 7447 7612 8124 8304 10832 11072 11418 14894 15224 16248 16608 21664 22144 22341 22836 29788 30448 32496 33216 43328 44682 45672 59576 60896 64992 66432 86656 89364 91344 117121 119152 121792 129984 178728 182688 234242 238304 243584 259968 351363 357456 365376 468484 476608 702726 714912 730752 936968 953216 1288331 1405452 1429824 1873936 2576662 2810904 2859648 3747872 3864993 5153324 5621808 7495744 7729986 10306648 11243616 14991488 15459972 20613296 22487232 30919944 41226592 44974464 61839888 82453184 123679776 164906368 247359552 494719104