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509144389 = 13106936637
BaseRepresentation
bin11110010110001…
…110110101000101
31022111001012210121
4132112032311011
52020320110024
6122304421541
715421440655
oct3626166505
91274035717
10509144389
11241442796
121226178b1
1381637390
144b896365
152ea728e4
hex1e58ed45

509144389 has 8 divisors (see below), whose sum is σ = 548837240. Its totient is φ = 469526976.

The previous prime is 509144359. The next prime is 509144393. The reversal of 509144389 is 983441905.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5904900 + 503239489 = 2430^2 + 22433^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 509144389 - 213 = 509136197 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509144359) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4422 + ... + 32215.

It is an arithmetic number, because the mean of its divisors is an integer number (68604655).

Almost surely, 2509144389 is an apocalyptic number.

It is an amenable number.

509144389 is a deficient number, since it is larger than the sum of its proper divisors (39692851).

509144389 is a wasteful number, since it uses less digits than its factorization.

509144389 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37719.

The product of its (nonzero) digits is 155520, while the sum is 43.

The square root of 509144389 is about 22564.2280834067. The cubic root of 509144389 is about 798.5099289376.

The spelling of 509144389 in words is "five hundred nine million, one hundred forty-four thousand, three hundred eighty-nine".

Divisors: 1 13 1069 13897 36637 476281 39164953 509144389