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494228448 = 25327673659
BaseRepresentation
bin11101011101010…
…101001111100000
31021102222101222100
4131131111033200
52003010302243
6121013010400
715150605160
oct3535251740
91242871870
10494228448
11233a8516a
12119623a00
137b51408c
14498d25a0
152d5c80d3
hex1d7553e0

494228448 has 144 divisors (see below), whose sum is σ = 1630661760. Its totient is φ = 139062528.

The previous prime is 494228407. The next prime is 494228461. The reversal of 494228448 is 844822494.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133243 + ... + 136901.

It is an arithmetic number, because the mean of its divisors is an integer number (11324040).

Almost surely, 2494228448 is an apocalyptic number.

494228448 is a gapful number since it is divisible by the number (48) 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 494228448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815330880).

494228448 is an abundant number, since it is smaller than the sum of its proper divisors (1136433312).

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

494228448 is a wasteful number, since it uses less digits than its factorization.

494228448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3749 (or 3738 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The square root of 494228448 is about 22231.2493576047. The cubic root of 494228448 is about 790.6347768907.

The spelling of 494228448 in words is "four hundred ninety-four million, two hundred twenty-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 67 72 84 96 112 126 134 144 168 201 224 252 268 288 336 402 469 504 536 603 672 804 938 1008 1072 1206 1407 1608 1876 2016 2144 2412 2814 3216 3659 3752 4221 4824 5628 6432 7318 7504 8442 9648 10977 11256 14636 15008 16884 19296 21954 22512 25613 29272 32931 33768 43908 45024 51226 58544 65862 67536 76839 87816 102452 117088 131724 135072 153678 175632 204904 230517 245153 263448 307356 351264 409808 461034 490306 526896 614712 735459 819616 922068 980612 1053792 1229424 1470918 1716071 1844136 1961224 2206377 2458848 2941836 3432142 3688272 3922448 4412754 5148213 5883672 6864284 7376544 7844896 8825508 10296426 11767344 13728568 15444639 17651016 20592852 23534688 27457136 30889278 35302032 41185704 54914272 61778556 70604064 82371408 123557112 164742816 247114224 494228448