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538248816 = 243272918413
BaseRepresentation
bin100000000101010…
…000011001110000
31101111210212120100
4200011100121300
52100242430231
6125224312400
716224016350
oct4005203160
91344725510
10538248816
11256911336
12130312700
1387687831
14516b0b60
15323c11e6
hex20150670

538248816 has 120 divisors (see below), whose sum is σ = 1781002080. Its totient is φ = 148474368.

The previous prime is 538248791. The next prime is 538248817. The reversal of 538248816 is 618842835.

538248816 is a `hidden beast` number, since 538 + 24 + 88 + 16 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (538248817) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20026 + ... + 38438.

It is an arithmetic number, because the mean of its divisors is an integer number (14841684).

Almost surely, 2538248816 is an apocalyptic number.

538248816 is a gapful number since it is divisible by the number (56) 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 538248816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890501040).

538248816 is an abundant number, since it is smaller than the sum of its proper divisors (1242753264).

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

538248816 is a wasteful number, since it uses less digits than its factorization.

538248816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18463 (or 18454 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 538248816 is about 23200.1899992220. The cubic root of 538248816 is about 813.4440641738. Note that the first 3 decimals are identical.

The spelling of 538248816 in words is "five hundred thirty-eight million, two hundred forty-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 29 36 42 48 56 58 63 72 84 87 112 116 126 144 168 174 203 232 252 261 336 348 406 464 504 522 609 696 812 1008 1044 1218 1392 1624 1827 2088 2436 3248 3654 4176 4872 7308 9744 14616 18413 29232 36826 55239 73652 110478 128891 147304 165717 220956 257782 294608 331434 386673 441912 515564 533977 662868 773346 883824 1031128 1067954 1160019 1325736 1546692 1601931 2062256 2135908 2320038 2651472 3093384 3203862 3737839 4271816 4640076 4805793 6186768 6407724 7475678 8543632 9280152 9611586 11213517 12815448 14951356 18560304 19223172 22427034 25630896 29902712 33640551 38446344 44854068 59805424 67281102 76892688 89708136 134562204 179416272 269124408 538248816