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55352017 = 721766449
BaseRepresentation
bin1101001100100…
…1101011010001
310212011011200201
43103021223101
5103132231032
65254215201
71241325100
oct323115321
9125134621
1055352017
1129276876
1216654501
13b610496
1474cc037
154cd58e7
hex34c9ad1

55352017 has 12 divisors (see below), whose sum is σ = 68177700. Its totient is φ = 44653056.

The previous prime is 55351987. The next prime is 55352027. The reversal of 55352017 is 71025355.

55352017 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 49787136 + 5564881 = 7056^2 + 2359^2 .

It is not a de Polignac number, because 55352017 - 211 = 55349969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (55352027) 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 11 ways as a sum of consecutive naturals, for example, 32392 + ... + 34057.

It is an arithmetic number, because the mean of its divisors is an integer number (5681475).

Almost surely, 255352017 is an apocalyptic number.

It is an amenable number.

55352017 is a deficient number, since it is larger than the sum of its proper divisors (12825683).

55352017 is a wasteful number, since it uses less digits than its factorization.

55352017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66480 (or 66473 counting only the distinct ones).

The product of its (nonzero) digits is 5250, while the sum is 28.

The square root of 55352017 is about 7439.8936148308. The cubic root of 55352017 is about 381.1048569785.

The spelling of 55352017 in words is "fifty-five million, three hundred fifty-two thousand, seventeen".

Divisors: 1 7 17 49 119 833 66449 465143 1129633 3256001 7907431 55352017