Search a number
-
+
494402976 = 253217100981
BaseRepresentation
bin11101011101111…
…111110110100000
31021110022021101100
4131131333312200
52003031343401
6121020434400
715152233044
oct3535776640
91243267340
10494402976
11234094301
121196a8a00
137b575652
144993a024
152d60eb86
hex1d77fda0

494402976 has 72 divisors (see below), whose sum is σ = 1488676644. Its totient is φ = 155105280.

The previous prime is 494402903. The next prime is 494402977. The reversal of 494402976 is 679204494.

It can be written as a sum of positive squares in 2 ways, for example, as 474368400 + 20034576 = 21780^2 + 4476^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (494402977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45595 + ... + 55386.

Almost surely, 2494402976 is an apocalyptic number.

It is an amenable number.

494402976 is an abundant number, since it is smaller than the sum of its proper divisors (994273668).

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

494402976 is a wasteful number, since it uses less digits than its factorization.

494402976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101014 (or 101003 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 494402976 is about 22235.1742965959. The cubic root of 494402976 is about 790.7278321484.

The spelling of 494402976 in words is "four hundred ninety-four million, four hundred two thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 100981 201962 302943 403924 605886 807848 908829 1211772 1615696 1716677 1817658 2423544 3231392 3433354 3635316 4847088 5150031 6866708 7270632 9694176 10300062 13733416 14541264 15450093 20600124 27466832 29082528 30900186 41200248 54933664 61800372 82400496 123600744 164800992 247201488 494402976