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55458437 = 171091732
BaseRepresentation
bin1101001110001…
…1101010000101
310212100120200012
43103203222011
5103144132222
65300400005
71242250256
oct323435205
9125316605
1055458437
1129339821
12166a6005
13b649a58
147518b2d
154d071e2
hex34e3a85

55458437 has 12 divisors (see below), whose sum is σ = 59603940. Its totient is φ = 51418368.

The previous prime is 55458419. The next prime is 55458439. The reversal of 55458437 is 73485455.

55458437 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 6 ways, for example, as 24611521 + 30846916 = 4961^2 + 5554^2 .

It is not a de Polignac number, because 55458437 - 26 = 55458373 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 55458394 and 55458403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55458439) 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, 320483 + ... + 320655.

It is an arithmetic number, because the mean of its divisors is an integer number (4966995).

Almost surely, 255458437 is an apocalyptic number.

It is an amenable number.

55458437 is a deficient number, since it is larger than the sum of its proper divisors (4145503).

55458437 is a wasteful number, since it uses less digits than its factorization.

55458437 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 299 counting only the distinct ones).

The product of its digits is 336000, while the sum is 41.

The square root of 55458437 is about 7447.0421645107. The cubic root of 55458437 is about 381.3489385074.

The spelling of 55458437 in words is "fifty-five million, four hundred fifty-eight thousand, four hundred thirty-seven".

Divisors: 1 17 109 173 1853 2941 18857 29929 320569 508793 3262261 55458437