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55661706 = 232171011801
BaseRepresentation
bin1101010001010…
…1010010001010
310212201220111200
43110111102022
5103222133311
65305005030
71244055012
oct324252212
9125656450
1055661706
1129468511
1216783776
13b6bb429
14756cc42
154d47556
hex351548a

55661706 has 48 divisors (see below), whose sum is σ = 129030408. Its totient is φ = 17280000.

The previous prime is 55661699. The next prime is 55661719. The reversal of 55661706 is 60716655.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 54243225 + 1418481 = 7365^2 + 1191^2 .

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 23 ways as a sum of consecutive naturals, for example, 30006 + ... + 31806.

Almost surely, 255661706 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55661706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64515204).

55661706 is an abundant number, since it is smaller than the sum of its proper divisors (73368702).

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

55661706 is a wasteful number, since it uses less digits than its factorization.

55661706 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1927 (or 1924 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 55661706 is about 7460.6773150968. The cubic root of 55661706 is about 381.8142834172.

The spelling of 55661706 in words is "fifty-five million, six hundred sixty-one thousand, seven hundred six".

Divisors: 1 2 3 6 9 17 18 34 51 101 102 153 202 303 306 606 909 1717 1801 1818 3434 3602 5151 5403 10302 10806 15453 16209 30617 30906 32418 61234 91851 181901 183702 275553 363802 545703 551106 1091406 1637109 3092317 3274218 6184634 9276951 18553902 27830853 55661706