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5875682409 = 361721672
BaseRepresentation
bin1010111100011011…
…11100110001101001
3120011111010121000000
411132031330301221
544013133314114
62411012133213
7265414322262
oct53615746151
916144117000
105875682409
112545740183
12117b907209
137283bc86c
143da4cb969
15245c7ce09
hex15e37cc69

5875682409 has 63 divisors (see below), whose sum is σ = 9414554407. Its totient is φ = 3664626624.

The previous prime is 5875682401. The next prime is 5875682429. The reversal of 5875682409 is 9042865785.

5875682409 = 6803 + 6813 + ... + 6973.

The square root of 5875682409 is 76653.

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

5875682409 is a `hidden beast` number, since 58 + 7 + 568 + 24 + 0 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4574493225 + 1301189184 = 67635^2 + 36072^2 .

It is not a de Polignac number, because 5875682409 - 23 = 5875682401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5875682401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 35183644 + ... + 35183810.

Almost surely, 25875682409 is an apocalyptic number.

5875682409 is the 76653-rd square number.

5875682409 is the 38327-th centered octagonal number.

It is an amenable number.

5875682409 is a deficient number, since it is larger than the sum of its proper divisors (3538871998).

5875682409 is an frugal number, since it uses more digits than its factorization.

5875682409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The cubic root of 5875682409 is about 1804.4829010637.

The spelling of 5875682409 in words is "five billion, eight hundred seventy-five million, six hundred eighty-two thousand, four hundred nine".

Divisors: 1 3 9 17 27 51 81 153 167 243 289 459 501 729 867 1377 1503 2601 2839 4131 4509 7803 8517 12393 13527 23409 25551 27889 40581 48263 70227 76653 83667 121743 144789 210681 229959 251001 434367 474113 689877 753003 1303101 1422339 2069631 2259009 3909303 4267017 6777027 8059921 11727909 12801051 20331081 24179763 35183727 38403153 72539289 115209459 217617867 345628377 652853601 1958560803 5875682409