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61728678 = 23211714391
BaseRepresentation
bin1110101101111…
…0011110100110
311022011010211100
43223132132212
5111300304203
610043020530
71346453664
oct353363646
9138133740
1061728678
1131931740
121880a746
13ca33a5b
1482abc34
155644ea3
hex3ade7a6

61728678 has 48 divisors (see below), whose sum is σ = 147992832. Its totient is φ = 18438000.

The previous prime is 61728673. The next prime is 61728679. The reversal of 61728678 is 87682716.

61728678 is a `hidden beast` number, since 617 + 28 + 6 + 7 + 8 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61728671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11863 + ... + 16253.

It is an arithmetic number, because the mean of its divisors is an integer number (3083184).

Almost surely, 261728678 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61728678, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73996416).

61728678 is an abundant number, since it is smaller than the sum of its proper divisors (86264154).

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

61728678 is a wasteful number, since it uses less digits than its factorization.

61728678 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4481 (or 4478 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The square root of 61728678 is about 7856.7600192446. The cubic root of 61728678 is about 395.2109709934.

The spelling of 61728678 in words is "sixty-one million, seven hundred twenty-eight thousand, six hundred seventy-eight".

Divisors: 1 2 3 6 9 11 18 22 33 66 71 99 142 198 213 426 639 781 1278 1562 2343 4391 4686 7029 8782 13173 14058 26346 39519 48301 79038 96602 144903 289806 311761 434709 623522 869418 935283 1870566 2805849 3429371 5611698 6858742 10288113 20576226 30864339 61728678