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1052807809 = 7124572
BaseRepresentation
bin111110110000001…
…001001010000001
32201101001011210211
4332300021022001
54124004322214
6252245154121
735042501344
oct7660111201
92641034724
101052807809
114a03120a9
122546bb941
1313a169601
149db7645b
15626630c4
hex3ec09281

1052807809 has 9 divisors (see below), whose sum is σ = 1070186691. Its totient is φ = 1035708240.

The previous prime is 1052807737. The next prime is 1052807813. The reversal of 1052807809 is 9087082501.

The square root of 1052807809 is 32447.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 910530625 + 142277184 = 30175^2 + 11928^2 .

It is not a de Polignac number, because 1052807809 - 219 = 1052283521 is a prime.

It is a super-2 number, since 2×10528078092 = 2216808565382760962, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1052807869) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2303509 + ... + 2303965.

Almost surely, 21052807809 is an apocalyptic number.

1052807809 is the 32447-th square number.

1052807809 is the 16224-th centered octagonal number.

It is an amenable number.

1052807809 is a deficient number, since it is larger than the sum of its proper divisors (17378882).

1052807809 is an frugal number, since it uses more digits than its factorization.

1052807809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 40.

The cubic root of 1052807809 is about 1017.3015335714.

The spelling of 1052807809 in words is "one billion, fifty-two million, eight hundred seven thousand, eight hundred nine".

Divisors: 1 71 457 5041 32447 208849 2303737 14828279 1052807809