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538053168 = 243234111887
BaseRepresentation
bin100000000100100…
…000101000110000
31101111102221012010
4200010200220300
52100220200133
6125220202520
716222243062
oct4004405060
91344387163
10538053168
11256798344
12130239440
1387619773
145165d732
1532383263
hex20120a30

538053168 has 80 divisors (see below), whose sum is σ = 1485904896. Its totient is φ = 167354880.

The previous prime is 538053163. The next prime is 538053169. The reversal of 538053168 is 861350835.

It is not an unprimeable number, because it can be changed into a prime (538053163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39321 + ... + 51207.

Almost surely, 2538053168 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 538053168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742952448).

538053168 is an abundant number, since it is smaller than the sum of its proper divisors (947851728).

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

538053168 is a wasteful number, since it uses less digits than its factorization.

538053168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11962 (or 11956 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 538053168 is about 23195.9730987945. The cubic root of 538053168 is about 813.3454926666.

The spelling of 538053168 in words is "five hundred thirty-eight million, fifty-three thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 41 46 48 69 82 92 123 138 164 184 246 276 328 368 492 552 656 943 984 1104 1886 1968 2829 3772 5658 7544 11316 11887 15088 22632 23774 35661 45264 47548 71322 95096 142644 190192 273401 285288 487367 546802 570576 820203 974734 1093604 1462101 1640406 1949468 2187208 2924202 3280812 3898936 4374416 5848404 6561624 7797872 11209441 11696808 13123248 22418882 23393616 33628323 44837764 67256646 89675528 134513292 179351056 269026584 538053168