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57550220 = 225713103307
BaseRepresentation
bin1101101110001…
…0010110001100
311000021212001122
43123202112030
5104213101340
65413300112
71266111620
oct333422614
9130255048
1057550220
112a538372
1217334638
13bbccbb0
147901180
1550bbdb5
hex36e258c

57550220 has 96 divisors (see below), whose sum is σ = 150678528. Its totient is φ = 17978112.

The previous prime is 57550189. The next prime is 57550223. The reversal of 57550220 is 2205575.

57550220 = T309 + T310 + ... + T720.

57550220 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 (26).

It is a self number, because there is not a number n which added to its sum of digits gives 57550220.

It is not an unprimeable number, because it can be changed into a prime (57550223) 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 31 ways as a sum of consecutive naturals, for example, 187307 + ... + 187613.

It is an arithmetic number, because the mean of its divisors is an integer number (1569568).

Almost surely, 257550220 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 57550220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75339264).

57550220 is an abundant number, since it is smaller than the sum of its proper divisors (93128308).

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

57550220 is a wasteful number, since it uses less digits than its factorization.

57550220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 26.

The square root of 57550220 is about 7586.1861300656. The cubic root of 57550220 is about 386.0844670046.

Adding to 57550220 its reverse (2205575), we get a palindrome (59755795).

The spelling of 57550220 in words is "fifty-seven million, five hundred fifty thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 103 130 140 182 206 260 307 364 412 455 515 614 721 910 1030 1228 1339 1442 1535 1820 2060 2149 2678 2884 3070 3605 3991 4298 5356 6140 6695 7210 7982 8596 9373 10745 13390 14420 15964 18746 19955 21490 26780 27937 31621 37492 39910 42980 46865 55874 63242 79820 93730 111748 126484 139685 158105 187460 221347 279370 316210 411073 442694 558740 632420 822146 885388 1106735 1644292 2055365 2213470 2877511 4110730 4426940 5755022 8221460 11510044 14387555 28775110 57550220