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1352989089 = 34612672
BaseRepresentation
bin101000010100100…
…1111100110100001
310111021212222010000
41100221033212201
510232331122324
6342131130213
745346134414
oct12051174641
93437788100
101352989089
116347aa801
12319143969
131873cba7a
14cb995b7b
157dbaa9c9
hex50a4f9a1

1352989089 has 45 divisors (see below), whose sum is σ = 2085934851. Its totient is φ = 873964080.

The previous prime is 1352989087. The next prime is 1352989103. The reversal of 1352989089 is 9809892531.

The square root of 1352989089 is 36783.

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., 43996689 + 1308992400 = 6633^2 + 36180^2 .

It is not a de Polignac number, because 1352989089 - 21 = 1352989087 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1352989087) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 20193834 + ... + 20193900.

Almost surely, 21352989089 is an apocalyptic number.

1352989089 is the 36783-rd square number.

1352989089 is the 18392-nd centered octagonal number.

It is an amenable number.

1352989089 is a deficient number, since it is larger than the sum of its proper divisors (732945762).

1352989089 is an frugal number, since it uses more digits than its factorization.

1352989089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The cubic root of 1352989089 is about 1106.0245444600.

The spelling of 1352989089 in words is "one billion, three hundred fifty-two million, nine hundred eighty-nine thousand, eighty-nine".

Divisors: 1 3 9 27 61 67 81 183 201 549 603 1647 1809 3721 4087 4489 4941 5427 11163 12261 13467 33489 36783 40401 100467 110349 121203 249307 273829 301401 331047 363609 747921 821487 2243763 2464461 6731289 7393383 16703569 20193867 22180149 50110707 150332121 450996363 1352989089