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494941824 = 27321333049
BaseRepresentation
bin11101100000000…
…011011010000000
31021111022122112200
4131200003122000
52003201114244
6121040153200
715156636036
oct3540033200
91244278480
10494941824
11234422133
12119908800
137b7039b0
1449a3a556
152d6b9669
hex1d803680

494941824 has 96 divisors (see below), whose sum is σ = 1533850500. Its totient is φ = 152285184.

The previous prime is 494941823. The next prime is 494941841. The reversal of 494941824 is 428149494.

It can be written as a sum of positive squares in 2 ways, for example, as 354945600 + 139996224 = 18840^2 + 11832^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 494941824.

It is not an unprimeable number, because it can be changed into a prime (494941823) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1549 + ... + 31500.

Almost surely, 2494941824 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 494941824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766925250).

494941824 is an abundant number, since it is smaller than the sum of its proper divisors (1038908676).

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

494941824 is a wasteful number, since it uses less digits than its factorization.

494941824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33082 (or 33067 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 494941824 is about 22247.2880144974. The cubic root of 494941824 is about 791.0149983065.

The spelling of 494941824 in words is "four hundred ninety-four million, nine hundred forty-one thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 288 312 384 416 468 576 624 832 936 1152 1248 1664 1872 2496 3744 4992 7488 14976 33049 66098 99147 132196 198294 264392 297441 396588 429637 528784 594882 793176 859274 1057568 1189764 1288911 1586352 1718548 2115136 2379528 2577822 3172704 3437096 3866733 4230272 4759056 5155644 6345408 6874192 7733466 9518112 10311288 12690816 13748384 15466932 19036224 20622576 27496768 30933864 38072448 41245152 54993536 61867728 82490304 123735456 164980608 247470912 494941824