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93238336 = 26172712
BaseRepresentation
bin1011000111010…
…11010001000000
320111102222221201
411203223101000
5142332111321
613130230544
72211340612
oct543532100
9214388851
1093238336
11486a3384
1227285454
1316416c19
14c550db2
1582bb291
hex58eb440

93238336 has 63 divisors (see below), whose sum is σ = 199350757. Its totient is φ = 43258880.

The previous prime is 93238331. The next prime is 93238357. The reversal of 93238336 is 63383239.

The square root of 93238336 is 9656.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 72590400 + 20647936 = 8520^2 + 4544^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 93238295 and 93238304.

It is not an unprimeable number, because it can be changed into a prime (93238331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1313181 + ... + 1313251.

Almost surely, 293238336 is an apocalyptic number.

93238336 is the 9656-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93238336

93238336 is an abundant number, since it is smaller than the sum of its proper divisors (106112421).

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

93238336 is an equidigital number, since it uses as much as digits as its factorization.

93238336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 90 counting only the distinct ones).

The product of its digits is 69984, while the sum is 37.

The cubic root of 93238336 is about 453.4521910566.

The spelling of 93238336 in words is "ninety-three million, two hundred thirty-eight thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 71 136 142 272 284 289 544 568 578 1088 1136 1156 1207 2272 2312 2414 4544 4624 4828 5041 9248 9656 10082 18496 19312 20164 20519 38624 40328 41038 77248 80656 82076 85697 161312 164152 171394 322624 328304 342788 656608 685576 1313216 1371152 1456849 2742304 2913698 5484608 5827396 11654792 23309584 46619168 93238336