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627040417 is a prime number
BaseRepresentation
bin100101010111111…
…110000010100001
31121200212221202011
4211113332002201
52241010243132
6142115352521
721352520113
oct4527760241
91550787664
10627040417
112a1a47823
12155bb2741
139cba5743
145d3c53b3
153a0aeb47
hex255fe0a1

627040417 has 2 divisors, whose sum is σ = 627040418. Its totient is φ = 627040416.

The previous prime is 627040399. The next prime is 627040423. The reversal of 627040417 is 714040726.

627040417 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 626801296 + 239121 = 25036^2 + 489^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-627040417 is a prime.

It is not a weakly prime, because it can be changed into another prime (627040487) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 313520208 + 313520209.

It is an arithmetic number, because the mean of its divisors is an integer number (313520209).

Almost surely, 2627040417 is an apocalyptic number.

It is an amenable number.

627040417 is a deficient number, since it is larger than the sum of its proper divisors (1).

627040417 is an equidigital number, since it uses as much as digits as its factorization.

627040417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9408, while the sum is 31.

The square root of 627040417 is about 25040.7750878442. The cubic root of 627040417 is about 855.9173797344.

The spelling of 627040417 in words is "six hundred twenty-seven million, forty thousand, four hundred seventeen".