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55079388 = 2232713172343
BaseRepresentation
bin1101001000011…
…1000111011100
310211122022201100
43102013013130
5103100020023
65244313100
71236111210
oct322070734
9124568640
1055079388
11290aaa61
1216542790
13b546370
14745a940
154c7ec43
hex34871dc

55079388 has 288 divisors, whose sum is σ = 193729536. Its totient is φ = 12773376.

The previous prime is 55079363. The next prime is 55079417. The reversal of 55079388 is 88397055.

55079388 is a `hidden beast` number, since 550 + 7 + 93 + 8 + 8 = 666.

55079388 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1280895 + ... + 1280937.

It is an arithmetic number, because the mean of its divisors is an integer number (672672).

Almost surely, 255079388 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 55079388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96864768).

55079388 is an abundant number, since it is smaller than the sum of its proper divisors (138650148).

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

55079388 is a wasteful number, since it uses less digits than its factorization.

55079388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 55079388 is about 7421.5488949410. The cubic root of 55079388 is about 380.4781331344.

The spelling of 55079388 in words is "fifty-five million, seventy-nine thousand, three hundred eighty-eight".