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55578078 = 232191011609
BaseRepresentation
bin1101010000000…
…0110111011110
310212120122210100
43110000313132
5103211444303
65303121530
71243256133
oct324006736
9125518710
1055578078
11294106a6
12167432a6
13b68c34a
14754a58a
154d2c8a3
hex3500dde

55578078 has 48 divisors (see below), whose sum is σ = 128091600. Its totient is φ = 17366400.

The previous prime is 55578053. The next prime is 55578109. The reversal of 55578078 is 87087555.

It is a happy number.

55578078 is a `hidden beast` number, since 5 + 5 + 578 + 0 + 78 = 666.

55578078 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 23 ways as a sum of consecutive naturals, for example, 33738 + ... + 35346.

It is an arithmetic number, because the mean of its divisors is an integer number (2668575).

Almost surely, 255578078 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55578078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64045800).

55578078 is an abundant number, since it is smaller than the sum of its proper divisors (72513522).

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

55578078 is a wasteful number, since it uses less digits than its factorization.

55578078 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1737 (or 1734 counting only the distinct ones).

The product of its (nonzero) digits is 392000, while the sum is 45.

The square root of 55578078 is about 7455.0706234079. The cubic root of 55578078 is about 381.6229707439.

The spelling of 55578078 in words is "fifty-five million, five hundred seventy-eight thousand, seventy-eight".

Divisors: 1 2 3 6 9 18 19 38 57 101 114 171 202 303 342 606 909 1609 1818 1919 3218 3838 4827 5757 9654 11514 14481 17271 28962 30571 34542 61142 91713 162509 183426 275139 325018 487527 550278 975054 1462581 2925162 3087671 6175342 9263013 18526026 27789039 55578078