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55587688 = 231317231367
BaseRepresentation
bin1101010000001…
…1001101101000
310212121010222021
43110003031220
5103212301223
65303234224
71243326142
oct324031550
9125533867
1055587688
1129417942
1216748974
13b693830
14754dc92
154d3065d
hex3503368

55587688 has 64 divisors (see below), whose sum is σ = 124104960. Its totient is φ = 23079936.

The previous prime is 55587683. The next prime is 55587703. The reversal of 55587688 is 88678555.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (55587683) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 39981 + ... + 41347.

It is an arithmetic number, because the mean of its divisors is an integer number (1939140).

Almost surely, 255587688 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 55587688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62052480).

55587688 is an abundant number, since it is smaller than the sum of its proper divisors (68517272).

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

55587688 is a wasteful number, since it uses less digits than its factorization.

55587688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426 (or 1422 counting only the distinct ones).

The product of its digits is 2688000, while the sum is 52.

The square root of 55587688 is about 7455.7151233131. The cubic root of 55587688 is about 381.6449649397.

The spelling of 55587688 in words is "fifty-five million, five hundred eighty-seven thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 13 17 23 26 34 46 52 68 92 104 136 184 221 299 391 442 598 782 884 1196 1367 1564 1768 2392 2734 3128 5083 5468 10166 10936 17771 20332 23239 31441 35542 40664 46478 62882 71084 92956 125764 142168 185912 251528 302107 408733 534497 604214 817466 1068994 1208428 1634932 2137988 2416856 3269864 4275976 6948461 13896922 27793844 55587688