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627144309 = 33112111597
BaseRepresentation
bin100101011000010…
…111011001110101
31121201002020021000
4211120113121311
52241022104214
6142121513513
721353432031
oct4530273165
91551066230
10627144309
112a2008890
12156042899
139cc10b0c
145d4111c1
153a0d0809
hex25617675

627144309 has 16 divisors (see below), whose sum is σ = 1013567040. Its totient is φ = 380087280.

The previous prime is 627144269. The next prime is 627144311. The reversal of 627144309 is 903441726.

It is not a de Polignac number, because 627144309 - 211 = 627142261 is a prime.

It is a super-3 number, since 3×6271443093 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (627144319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1055502 + ... + 1056095.

It is an arithmetic number, because the mean of its divisors is an integer number (63347940).

Almost surely, 2627144309 is an apocalyptic number.

It is an amenable number.

627144309 is a deficient number, since it is larger than the sum of its proper divisors (386422731).

627144309 is a wasteful number, since it uses less digits than its factorization.

627144309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2111617 (or 2111611 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 627144309 is about 25042.8494584782. The cubic root of 627144309 is about 855.9646483821.

The spelling of 627144309 in words is "six hundred twenty-seven million, one hundred forty-four thousand, three hundred nine".

Divisors: 1 3 9 11 27 33 99 297 2111597 6334791 19004373 23227567 57013119 69682701 209048103 627144309