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55600566 = 237372967
BaseRepresentation
bin1101010000011…
…0010110110110
310212121210122020
43110012112312
5103213204231
65303414010
71243411530
oct324062666
9125553566
1055600566
112942658a
1216754306
13b699658
147554850
154d34396
hex35065b6

55600566 has 48 divisors (see below), whose sum is σ = 130749696. Its totient is φ = 15440544.

The previous prime is 55600561. The next prime is 55600579. The reversal of 55600566 is 66500655.

55600566 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55600561) by changing a digit.

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, 57015 + ... + 57981.

It is an arithmetic number, because the mean of its divisors is an integer number (2723952).

Almost surely, 255600566 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55600566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65374848).

55600566 is an abundant number, since it is smaller than the sum of its proper divisors (75149130).

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

55600566 is a wasteful number, since it uses less digits than its factorization.

55600566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 33.

The square root of 55600566 is about 7456.5787060823. The cubic root of 55600566 is about 381.6744345611.

Adding to 55600566 its reverse (66500655), we get a palindrome (122101221).

The spelling of 55600566 in words is "fifty-five million, six hundred thousand, five hundred sixty-six".

Divisors: 1 2 3 6 7 14 21 37 42 74 111 222 259 518 777 967 1369 1554 1934 2738 2901 4107 5802 6769 8214 9583 13538 19166 20307 28749 35779 40614 57498 71558 107337 214674 250453 500906 751359 1323823 1502718 2647646 3971469 7942938 9266761 18533522 27800283 55600566