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57125200 = 24521112983
BaseRepresentation
bin1101100111101…
…0100101010000
310222111021001011
43121322211100
5104111001300
65400220304
71262361526
oct331724520
9128437034
1057125200
112a278010
121716a694
13bab15c2
147830316
155035eba
hex367a950

57125200 has 60 divisors (see below), whose sum is σ = 149731488. Its totient is φ = 20771200.

The previous prime is 57125197. The next prime is 57125209. The reversal of 57125200 is 252175.

57125200 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 (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57125209) 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 11 ways as a sum of consecutive naturals, for example, 2092 + ... + 10891.

Almost surely, 257125200 is an apocalyptic number.

57125200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

57125200 is an abundant number, since it is smaller than the sum of its proper divisors (92606288).

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

57125200 is a wasteful number, since it uses less digits than its factorization.

57125200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13012 (or 13001 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 22.

The square root of 57125200 is about 7558.1214597279. The cubic root of 57125200 is about 385.1316803741.

Adding to 57125200 its reverse (252175), we get a palindrome (57377375).

The spelling of 57125200 in words is "fifty-seven million, one hundred twenty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 4400 12983 25966 51932 64915 103864 129830 142813 207728 259660 285626 324575 519320 571252 649150 714065 1038640 1142504 1298300 1428130 2285008 2596600 2856260 3570325 5193200 5712520 7140650 11425040 14281300 28562600 57125200