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55234768 = 2417613329
BaseRepresentation
bin1101001010110…
…1000011010000
310211221012212011
43102231003100
5103120003033
65251512304
71240326211
oct322550320
9124835764
1055234768
11291a6776
12165b8694
13b59bcc4
14749b408
154cb0ccd
hex34ad0d0

55234768 has 40 divisors (see below), whose sum is σ = 115204680. Its totient is φ = 25559040.

The previous prime is 55234759. The next prime is 55234783. The reversal of 55234768 is 86743255.

It can be written as a sum of positive squares in 4 ways, for example, as 1827904 + 53406864 = 1352^2 + 7308^2 .

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 55234768.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 14928 + ... + 18256.

It is an arithmetic number, because the mean of its divisors is an integer number (2880117).

Almost surely, 255234768 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 55234768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57602340).

55234768 is an abundant number, since it is smaller than the sum of its proper divisors (59969912).

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

55234768 is a wasteful number, since it uses less digits than its factorization.

55234768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3415 (or 3409 counting only the distinct ones).

The product of its digits is 201600, while the sum is 40.

The square root of 55234768 is about 7432.0096878301. The cubic root of 55234768 is about 380.8355759079.

The spelling of 55234768 in words is "fifty-five million, two hundred thirty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 17 34 61 68 122 136 244 272 488 976 1037 2074 3329 4148 6658 8296 13316 16592 26632 53264 56593 113186 203069 226372 406138 452744 812276 905488 1624552 3249104 3452173 6904346 13808692 27617384 55234768