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55886688 = 253211132359
BaseRepresentation
bin1101010100110…
…0001101100000
310220011100010100
43111030031200
5103301333223
65313502400
71246012644
oct325141540
9126140110
1055886688
1129601550
1216871a00
13b769960
1475cac24
154d8e043
hex354c360

55886688 has 288 divisors, whose sum is σ = 198132480. Its totient is φ = 14699520.

The previous prime is 55886653. The next prime is 55886729. The reversal of 55886688 is 88668855.

55886688 is a `hidden beast` number, since 558 + 8 + 6 + 6 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 947203 + ... + 947261.

It is an arithmetic number, because the mean of its divisors is an integer number (687960).

Almost surely, 255886688 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 55886688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99066240).

55886688 is an abundant number, since it is smaller than the sum of its proper divisors (142245792).

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

55886688 is a wasteful number, since it uses less digits than its factorization.

55886688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 111 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 54.

The square root of 55886688 is about 7475.7399633749. The cubic root of 55886688 is about 382.3280170058.

The spelling of 55886688 in words is "fifty-five million, eight hundred eighty-six thousand, six hundred eighty-eight".