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57117450 = 235213171723
BaseRepresentation
bin1101100111100…
…0101100001010
310222110212102010
43121320230022
5104110224300
65400120350
71262330115
oct331705412
9128425363
1057117450
112a272205
12171660b6
13baaac10
14782b57c
155033a50
hex3678b0a

57117450 has 96 divisors (see below), whose sum is σ = 161614656. Its totient is φ = 13224960.

The previous prime is 57117367. The next prime is 57117451. The reversal of 57117450 is 5471175.

57117450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (57117451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32289 + ... + 34011.

It is an arithmetic number, because the mean of its divisors is an integer number (1683486).

Almost surely, 257117450 is an apocalyptic number.

57117450 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 57117450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80807328).

57117450 is an abundant number, since it is smaller than the sum of its proper divisors (104497206).

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

57117450 is a wasteful number, since it uses less digits than its factorization.

57117450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1768 (or 1763 counting only the distinct ones).

The product of its (nonzero) digits is 4900, while the sum is 30.

The square root of 57117450 is about 7557.6087488041. The cubic root of 57117450 is about 385.1142630433.

The spelling of 57117450 in words is "fifty-seven million, one hundred seventeen thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 17 25 26 30 34 39 50 51 65 75 78 85 102 130 150 170 195 221 255 325 390 425 442 510 650 663 850 975 1105 1275 1326 1723 1950 2210 2550 3315 3446 5169 5525 6630 8615 10338 11050 16575 17230 22399 25845 29291 33150 43075 44798 51690 58582 67197 86150 87873 111995 129225 134394 146455 175746 223990 258450 292910 335985 380783 439365 559975 671970 732275 761566 878730 1119950 1142349 1464550 1679925 1903915 2196825 2284698 3359850 3807830 4393650 5711745 9519575 11423490 19039150 28558725 57117450