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55486160 = 245897793
BaseRepresentation
bin1101001110101…
…0011011010000
310212101222200222
43103222123100
5103201024120
65301132212
71242424142
oct323523320
9125358628
1055486160
1129358634
12166ba068
13b659562
147524c92
154d10525
hex34ea6d0

55486160 has 40 divisors (see below), whose sum is σ = 130471560. Its totient is φ = 21942272.

The previous prime is 55486141. The next prime is 55486163. The reversal of 55486160 is 6168455.

It is a happy number.

55486160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 11343424 + 44142736 = 3368^2 + 6644^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 55486160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55486163) 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 7 ways as a sum of consecutive naturals, for example, 3224 + ... + 11016.

It is an arithmetic number, because the mean of its divisors is an integer number (3261789).

Almost surely, 255486160 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 55486160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65235780).

55486160 is an abundant number, since it is smaller than the sum of its proper divisors (74985400).

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

55486160 is a wasteful number, since it uses less digits than its factorization.

55486160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7895 (or 7889 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The square root of 55486160 is about 7448.9032749795. The cubic root of 55486160 is about 381.4124718251.

The spelling of 55486160 in words is "fifty-five million, four hundred eighty-six thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 89 178 356 445 712 890 1424 1780 3560 7120 7793 15586 31172 38965 62344 77930 124688 155860 311720 623440 693577 1387154 2774308 3467885 5548616 6935770 11097232 13871540 27743080 55486160