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55343585 = 5112175381
BaseRepresentation
bin1101001100011…
…1100111100001
310212010202010102
43103013213201
5103131443320
65254112145
71241261363
oct323074741
9125122112
1055343585
1129270500
121664b655
13b6096ab
1474c8d33
154cd3175
hex34c79e1

55343585 has 24 divisors (see below), whose sum is σ = 77307048. Its totient is φ = 37875200.

The previous prime is 55343579. The next prime is 55343597. The reversal of 55343585 is 58534355.

It can be written as a sum of positive squares in 4 ways, for example, as 7623121 + 47720464 = 2761^2 + 6908^2 .

It is not a de Polignac number, because 55343585 - 26 = 55343521 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7595 + ... + 12975.

It is an arithmetic number, because the mean of its divisors is an integer number (3221127).

Almost surely, 255343585 is an apocalyptic number.

55343585 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

55343585 is a deficient number, since it is larger than the sum of its proper divisors (21963463).

55343585 is a wasteful number, since it uses less digits than its factorization.

55343585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5425 (or 5414 counting only the distinct ones).

The product of its digits is 180000, while the sum is 38.

The square root of 55343585 is about 7439.3269184786. The cubic root of 55343585 is about 381.0855042400.

It can be divided in two parts, 5534 and 3585, that added together give a palindrome (9119).

The spelling of 55343585 in words is "fifty-five million, three hundred forty-three thousand, five hundred eighty-five".

Divisors: 1 5 11 17 55 85 121 187 605 935 2057 5381 10285 26905 59191 91477 295955 457385 651101 1006247 3255505 5031235 11068717 55343585