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627385 = 51121761
BaseRepresentation
bin10011001001010111001
31011212121111
42121022321
5130034020
621240321
75222053
oct2311271
91155544
10627385
11399400
122630a1
1318c745
141248d3
15c5d5a
hex992b9

627385 has 24 divisors (see below), whose sum is σ = 890568. Its totient is φ = 422400.

The previous prime is 627383. The next prime is 627391. The reversal of 627385 is 583726.

627385 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 4 ways, for example, as 17424 + 609961 = 132^2 + 781^2 .

It is not a de Polignac number, because 627385 - 21 = 627383 is a prime.

It is a super-2 number, since 2×6273852 = 787223876450, which contains 22 as substring.

It is a Duffinian number.

Its product of digits (10080) is a multiple of the sum of its prime factors (105).

It is a zygodrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (627383) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10255 + ... + 10315.

It is an arithmetic number, because the mean of its divisors is an integer number (37107).

2627385 is an apocalyptic number.

It is an amenable number.

627385 is a deficient number, since it is larger than the sum of its proper divisors (263183).

627385 is a wasteful number, since it uses less digits than its factorization.

627385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 94 counting only the distinct ones).

The product of its digits is 10080, while the sum is 31.

The square root of 627385 is about 792.0763852054. The cubic root of 627385 is about 85.6074137609.

It can be divided in two parts, 62 and 7385, that added together give a palindrome (7447).

The spelling of 627385 in words is "six hundred twenty-seven thousand, three hundred eighty-five".

Divisors: 1 5 11 17 55 61 85 121 187 305 605 671 935 1037 2057 3355 5185 7381 10285 11407 36905 57035 125477 627385