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55610368 = 210114937
BaseRepresentation
bin1101010000100…
…0110000000000
310212122022002021
43110020300000
5103214012433
65303531224
71243452232
oct324106000
9125568067
1055610368
1129432990
1216759b14
13b6a0c58
147558252
154d3722d
hex3508c00

55610368 has 44 divisors (see below), whose sum is σ = 121297032. Its totient is φ = 25272320.

The previous prime is 55610363. The next prime is 55610369. The reversal of 55610368 is 86301655.

It is a tau number, because it is divible by the number of its divisors (44).

It is not an unprimeable number, because it can be changed into a prime (55610363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8796 + ... + 13732.

Almost surely, 255610368 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 55610368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60648516).

55610368 is an abundant number, since it is smaller than the sum of its proper divisors (65686664).

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

55610368 is a wasteful number, since it uses less digits than its factorization.

55610368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4968 (or 4950 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The square root of 55610368 is about 7457.2359490632. The cubic root of 55610368 is about 381.6968621085.

The spelling of 55610368 in words is "fifty-five million, six hundred ten thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1024 1408 2816 4937 5632 9874 11264 19748 39496 54307 78992 108614 157984 217228 315968 434456 631936 868912 1263872 1737824 2527744 3475648 5055488 6951296 13902592 27805184 55610368